His mother, Clarissa, married Alonzo B. Crippen in 1851. When Alonzo died in 1878, his mother married John Hodgson in October 1878.

1880 United States Federal Census
Home in 1880: Butler, Butler, Iowa
Step Father's Name: John Hodgson
Mother's Birthplace: Canada
Mother's Occupation: Keeping House
Household Members:
John Hodgson 22
Clarrissa Hodgson 45
Elva E. Crippen 16
Lottie L. Crippen 13
Bernard A. Crippen 11
Alfred C. Crippen 9
Guy S. Crippen 5
Maud Grace Crippen 4

1900 United States Federal Census
Name: Alonzo B Crippen
Birth Date: Jun 1868 in Illinois
Home in 1900: Clarksville, Butler, Iowa
Relation to Head of House: Head
Marital Status: Married to Clara B Crippen
Marriage Year: 1895; Years married: 5
Father's Birthplace: Canada English
Mother's Birthplace: New York
Household Members:
Alonzo B Crippen 31 (Farmer)
Clara B Crippen 32 (wife)
Walter B Smith 24 (Farm Laborer; brother-in-law)
Edgar D Walrath 39 (Traveling Salesman; brother-in-law) ?
Martha E Walrath 26 (sister-in-law)?
* Note: Edgar and M Emma are buried next to Brainard and Clara. I'm not certain of their relationship.

Iowa, State Census Collection, 1836-1925
Name: A B Crippen
Birth Year: abt 1869 in Illinois
Marital Status: Married
Census Date: 1 Jan 1925
Residence: Iowa, Butler, Jackson Twp
Relation to Head: Son-In-Law
Mother: Clara Patterson b, Canada
Father: A B Crippen b. New York
Marriage Place: Illinois
Spouse Name: Clara Crippen
Household Members:
Mrs. Geo Smith 85 (mother-in-law)
Clara Crippen 57
A B Crippen 56

Source: Ancestry.com Family Trees (accuracy not guaranteed)
Name: Brainard A Crippen
BirthL 15 Jun 1868 - Sycamore, Illinois
Death: 2 Dec 1939 - Clarksville, Butler, Iowa
Father: Alonza Brainard Crippen (1817-1878)
Mother: Clarissa Patterson (1834-1904)
Spouse: Clara B Smith (1867-)
Married: 1895