Married to William H. Rogers in Wisconsin, had children in Wisconsin and moved to Minnesota about 1900.

Parents Christ and Olivia Hanson.
Spouse William H. Rogers
Children: Allen, Alma, Josephine, Mildred, Ruby, Clarence, Ida, Emma, ruth, Walter, Allen

Obituary: Park Region Echo (Alexandria, Minnesota) Aug. 26, 1948, page 1, column 1+

Rites are Held for Mrs. Carrie Rogers, Nelson Resident
Burial rites were conducted Wednesday for Mrs. Carrie Rogers, a resident of the Nelson community for the past 34 years, who passed away several days previously.
Mrs. Rogers had been failing in health for the past few year and passed away at her home in Nelson, Sunday, August 22, being at the time of her passing over 72 years of age.
Carrie Hanson Rogers, the daughter of Christ and Olivia Hanson, was born near Clinton, Wisconsin, Feb. 25, 1876. Here she spent her early youth and grew to womanhood, was baptized and confirmed in the Synod Lutheran Church near Paskin Lake, Wisconsin.
On January 13, 1895 she was united in marriage to William Rogers at Barron, Wis. Mr. and Mrs. Rogers farmed in Otter Tail and Douglas Counties until 1914, when they moved to Nelson, which was her home since.
ON January 13, 1945, Mrs. and Mrs. Rogers celebrated their 50th wedding anniversary. Mr. Rogers passed away April 30, 1946.
She is survived by 10 children. They are Clarence, Ida (Mrs. Thomas Hamilton) of Santa Barbara, Calif., Emma (Mrs. Elmer Anderson) of Alexandria, Minn., Alma of Alexandria, Mrs. Mildred Carey of Santa Barbara, Calif, Ruby of Nelson, Minn., Ruth (Mrs. Stewart Qually) of Santa Barbara, Calif. Walter and Albert of Santa Barbara, California, and Allan of Nelson, Minnesota. Surviving also are eleven grandchildren.
One daughter has preceded her in death.
Mrs. Rogers was always a kind and considerate neighbor and her pleasing disposition will be greatly missed by her family and many friends.
Funeral services were held Wednesday at the Anderson Funeral Home at 2:00 p.m. and at Our Saviour's Lutheran Church of Nelson at 2:30 p.m. Rev. C.E. Hanson officiating.
Pallbearers were Christ Hanson, Gust Erickson, Hans Iverson, Soren Jensen, David Reed and Carl Hanson.
Music was furnished by Kenneth Brundell and Mrs. Melvin Mattson who sang two duets, "Safe in the Arms of Jesus and "Abide With Me". Mary Reed sang a solo, "What a Friend We Have in Jesus". Interment was made in the Nelson cemetery.

Census of 1900
https://familysearch.org/pal:/MM9.1.1/M9SZ-JYG
name: Carrie Rogert
titles & terms:
event: Census
event date: 1900
event place: ED 56 Erdahl Township, Grant, Minnesota, United States
birth date: Feb 1876
birthplace: Wisconsin
relationship to head of household: Wife
father's birthplace: Wisconsin
mother's birthplace: Wisconsin
race or color (standardized): White
gender: Female
marital status: Married
years married: 5
estimated marriage year: 1895
mother how many children: 2
number living children: 2
immigration year:
page: 3
sheet letter: B
family number: 53
reference number: 73
film number: 1240765
digital folder number: 004120276
image number: 00116
Household Gender Age Birthplace
head William H Rogert M 31 Indiana
wife Carrie Rogert F 24 Wisconsin
son Clarence Rogert M 5 Wisconsin
daughter Ida Rogert F 3 Wisconsin

1910 census:
https://familysearch.org/pal:/MM9.1.1/M2LG-XVV
name: Carrie Rogers
birthplace: Wisconsin
relationship to head of household: Wife
residence: Millerville, Douglas, Minnesota
marital status: Married
race : White
gender: Female
immigration year:
father's birthplace: Norway
mother's birthplace: Norway
family number: 74
page number: 4
Household Gender Age Birthplace
self Wm M Rogers M 42y Indiana
wife Carrie Rogers F 34y Wisconsin
son Clarence L Rogers M 14y Wisconsin
dau Ida M Rogers F 12y Wisconsin
dau Emma K Rogers F 9y Minnesota
dau Elma S Rogers F 8y Minnesota
dau Mildred E Rogers F 7y Minnesota
dau Ruby M Rogers F 5y Minnesota
dau Ruth E Rogers F 3y Minnesota
son Walter R Rogers M 1y 1m Minnesota

1920 census:
https://familysearch.org/pal:/MM9.1.1/MWY3-TTW
name: Carrie O Rogers
residence: , Douglas, Minnesota
estimated birth year: 1877
age: 43
birthplace: Wisconsin
relationship to head of household: Wife
gender: Female
race: White
marital status: Married
father's birthplace:
mother's birthplace:
film number: 1820828
digital folder number: 4312176
image number: 00649
sheet number: 1
Household Gender Age Birthplace
self William H Rogers M 51y Indiana
wife Carrie O Rogers F 43y Wisconsin
dau Ida M Rogers F 22y Wisconsin
dau Emma C Rogers F 19y Minnesota
dau Alma S Rogers F 17y Minnesota
dau Mildred E Rogers F 16y Minnesota
dau Ruby M Rogers F 14y Minnesota
dau Ruth E Rogers F 12y Minnesota
son Walter R Rogers M 10y Minnesota
son Albert E Rogers M 9y Minnesota
son Allan E Rogers M 7y Minnesota
Herman C Price M 26y Minnesota

1930 census:
https://familysearch.org/pal:/MM9.1.1/X3ZQ-H6Y
name: Corrie Rogers
event: Census
event date: 1930
event place: Nelson, Douglas, Minnesota
gender: Female
age: 53
marital status: Married
race: White
birthplace: Minnesota
estimated birth year: 1877
immigration year:
relationship to head of household: Wife
father's birthplace: Norway
mother's birthplace: Norway
enumeration district number: 0028
family number: 44
sheet number and letter: 2A
line number: 45
nara publication: T626, roll 1085
film number: 2340820
digital folder number: 4610039
image number: 01096
Household Gender Age Birthplace
head Hans B Anderson M 38 Minnesota
head Harrison W Rogers M 62 Indiana
wife Corrie Rogers F 53 Minnesota
son Clerence R Rogers M 33 Wisconsin
daughter Ruby M Rogers F 24 Minnesota
son Albert E Rogers M 19 Minnesota
son Allen E Rogers M 17 Minnesota

1940 census:
https://familysearch.org/pal:/MM9.1.1/KSKP-Q9S
name: Carrie Rogers
titles & terms:
event: Census
event year: 1940
event place: Nelson, Nelson Village, Douglas, Minnesota, United States
gender: Female
age: 64
marital status: Married
race (original):
race (standardized): White
relationship to head of household (original):
relationship to head of household (standardized): Wife
birthplace: Wisconsin
estimated birth year: 1876
residence in 1935: Same House
enumeration district number: 21-29
family number: 27
sheet number and letter: 2A
line number: 10
nara publication number: T627
nara roll number: 1919
digital folder number: 005454956
image number: 00888
Household Gender Age Birthplace
head William H Rogers M 71 Indiana
wife Carrie Rogers F 64 Wisconsin
son Clarence L Rogers M 44 Wisconsin
daughter Ruby M Rogers F 34 Minnesota

Possibly Carrie Hanson Rogers on the 1880 census with her parents and some of the older sibs in the family:

1880 census in Wisconsin.
http://digitalarkivet.uib.no/cgi-win/webcens.exe?slag=visbase&sidenr=9&filnamn=ft21001880wisc&gardpostnr=1552&merk=1552#ovre
1551 140 Clinton Barron Co. Christian Hanson 35 m N N N f
1552 140 Clinton Barron Co. Ollie O Hanson 31 f N N N
1553 140 Clinton Barron Co. Hans Hanson 13 m N N N
1554 140 Clinton Barron Co. Ole Hanson 11 m N N N
1555 140 Clinton Barron Co. Carrie O Hanson 4 f Wis N N
1556 140 Clinton Barron Co. Josephine C Hanson 2 f Wis N N

The Biography of Carrie Hanson Rogers' father Christ Hanson, from Clinton, Barron County, Wisconsin.

Carrie is mentioned at the bottom, as Kari, married to W.H. Rogers in Nelson, Minnesota. However, there are carefully written biographies of Carrie's parents, Christian Hanson and Olea (Olivia) Olsdatter Hanson, posted under their findagrave pages. See the links below to Carrie's parents for those more accurate biographies. Some dramatic license may have been used by the author of this article. Articles of this type were published in so-called "Vanity Books" so that the subject of the biography or his family would purchase the book, thus ensuring sales for the publishers.

Taken from: History of Barron Co., Wisconsin, H. C. Cooper, Jr. & Co., 1922, pp. 444-445:

Christ Hanson, pioneer, who has lived on a farm in Section 14 for over forty years, and has lived on his present place in Section 20 for five years, has seen this region develop from a wilderness, and in that development has taken his full share and part. He was born in Norway, April
25, 1846, the son of Hans and Kari Hanson, who came from Norway to the United States in the seventies and located in Fillmore County, Minn., where they lived with a son, until their death. In the family, there were eight
children: Eric, Ole, Stephen, Christ, Hans, Peter, Sarah (deceased), who married Christ Nelson (deceased),and Mary, who married Knute Olson, now of Canada. Christ attended school in Norway, and as a young man worked on
farms and in the woods. He came to America in 1869, and found his way to Amherst, in Fillmore County, Minn., where he worked on farms. In 1975 he came to Barron County, and homesteaded 160 acres in Section 14, Clinton
Township. This was a beautiful tract, all wild, covered with heavy timber, and surrounding a pretty little lake. He made the trip here in a covered wagon, drawn by a pair of oxen. One cow was led, and part of the way the
family walked. Upon reaching here, they continued to live in the wagon until he could get a little clearing made and a log cabin up. When the cabin was completed, they moved into it. This was burned, and another was erected to replace it. This in turn was burned, and then a frame house was put up. By hard work, self sacrifice, and never ending toil, he built up a good farm. Here he continued general farming and dairying for 41 years. In 1916 he sold the place, and purchased 40 acres in Section 20, where he now lives. In his long residence here he has taken his part in everything that he has believed to be for the best good of the community. He has been chairman of the town board, thus giving good service both to the town and
to the county. For many years he showed absolute fairness and good judgment as township assessor. One year he was town treasurer. He has also done most excellent work on the school board. The Norwegian Lutheran Church has found
in him an active supporter and liberal contributor. Mr. Hanson was married in Norway, in June, 1867, to Olea Olson, who was born in Norway, in 1848, the daughter of Ole Olson. Mrs. Hanson, a most worthy woman, who was a
loyal wife and sympathetic mother, and generous and kindly neighbor, died July 12, 1919. Of their large family of children there are now living five. Ole is in Spooner, Minn. Christopher is at Park Falls, Wis. Kari is the
wife of W. M. Rogers, of Nelson, Minn. Emma is the wife of W. C. Jeffrey, of Cumberland. Sophia is the wife of Elias Lamb, of Barron Township.

--Taken from: History of Barron Co., Wisconsin, H. C. Cooper, Jr. & Co.,
1922, pp. 444-445.

Carrie Rogers parents on 1900 census:
http://files.usgwarchives.net/wi/barron/biographies/hansonch.txt
name: Christ Hansen
titles & terms:
event: Census
event date: 1900
event place: ED 5 Clinton town, Barron, Wisconsin, United States
birth date: Apr 1846
birthplace: Norway
relationship to head of household: Head
father's birthplace: Norway
mother's birthplace: Norway
race or color (standardized): White
gender: Male
marital status: Married
years married: 35
estimated marriage year: 1865
mother how many children:
number living children:
immigration year: 1875
page: 6
sheet letter: B
family number: 47
reference number: 56
film number: 1241777
digital folder number: 004120616
image number: 00771
Household Gender Age Birthplace
head Christ Hansen M 54 Norway
wife Oliva Hansen F 51 Norway
son Christofer Hansen M 14 Wisconsin

https://familysearch.org/pal:/MM9.1.1/MMVY-41N
name: Oliva Hansen
titles & terms:
event: Census
event date: 1900
event place: ED 5 Clinton town, Barron, Wisconsin, United States
birth date: Jan 1849
birthplace: Norway
relationship to head of household: Wife
father's birthplace: Norway
mother's birthplace: Norway
race or color (standardized): White
gender: Female
marital status: Married
years married: 35
estimated marriage year: 1865
mother how many children: 11
number living children: 5
immigration year: 1875
page: 6
sheet letter: B
family number: 47
reference number: 57
film number: 1241777
digital folder number: 004120616
image number: 00771

Possible grandparents of Carrie (Kari) Rogers in Fillmore county, 1875.
https://familysearch.org/pal:/MM9.1.1/MKND-9MS

name: Hans Hanson
residence: Arendahl, Fillmore, Minnesota
age: 66
estimated birth year: 1809
father's birthplace: Norway
mother's birthplace: Norway
birthplace: Norway
race:
gender: Male
line number: 22
family number: 24
film number: 0565719
Household Gender Age Birthplace
Hans Hanson M Norway
Carrie Hanson F Norway
Maria Hanson F Norway
Peder Hanson M Norway