Headstone has 1881 as his birth year. Death certificate has 1878.

1880 United States Federal Census
Name: Henry M. Weaver
Age: 5m
Birth Year: abt 1880
Birthplace: North Carolina
Home in 1880: Tally Ho, Granville, North Carolina
Race: White
Gender: Male
Relation to Head of House: Son (Child)
Marital Status: Single
Father's name: Raner Weaver
Father's Birthplace: North Carolina
Mother's name: Vesta Weaver
Mother's Birthplace: North Carolina
Household Members: Name Age
Raner Weaver 19
Vesta Weaver 18
Henry M. Weaver 5m
Ada Weaver 7

North Carolina, U.S., Marriage Records, 1741-2011
Name: Milton Weaver
Gender: Male
Race: White
Age: 22
Birth Year: abt 1876
Marriage Date: 23 Nov 1898
Marriage Place: Durham, North Carolina, USA
Spouse: Addie Murray [Incorrectly transcribed as Morvay.]
Spouse Gender: Female
Spouse Race: White
Spouse Age: 22
Event Type: Marriage

[Transcribed as Mollen* Weaver.]
1900 United States Federal Census
Name: Milton Weaver
Age: 20
Birth Date: Sep 1879
Birthplace: North Carolina
Home in 1900: Durham, Durham, North Carolina
Race: White
Gender: Male
Relation to Head of House: Head
Marital Status: Married
Spouse's Name: Addie Weaver
Marriage Year: 1898
Years Married: 2
Father's Birthplace: North Carolina
Mother's Birthplace: North Carolina
Household Members: Name Age
Milton Weaver 20
Addie Weaver 24
Nelson Parrish 53
Lula Parrish 49
Lottie Murray 16

1910 United States Federal Census
Name: Henry M Weaver
Age in 1910: 27
Birth Year: abt 1883
Birthplace: North Carolina
Home in 1910: Fishing Creek, Granville, North Carolina
Race: White
Gender: Male
Relation to Head of House: Head
Marital Status: Married
Spouse's Name: Addie J Weaver
Father's Birthplace: North Carolina
Mother's Birthplace: North Carolina
Household Members: Name Age
Henry M Weaver 27
Addie J Weaver 30
Amy E Weaver 8
Carl E Weaver 7
Violet L Weaver 4
Walter G Weaver 2
Jessie M Weaver 11/12
Mattie Reed 27

1920 United States Federal Census
Name: Henry M Weaver
Age: 41
Birth Year: abt 1879
Birthplace: North Carolina
Home in 1920: Durham Ward 3, Durham, North Carolina
Street: Walker St
House Number: 415
Race: White
Gender: Male
Relation to Head of House: Head
Marital Status: Married
Spouse's Name: Addie Weaver
Father's Birthplace: North Carolina
Mother's Birthplace: North Carolina
Able to Speak English: Yes
Occupation: Laborer
Industry: Cotton Mill
Employment Field: Wage or Salary
Household Members: Name Age
Henry M Weaver 41
Addie Weaver 40
Estelle Weaver 19
Carl Weaver 16
Violet L Weaver 14
Walter G Weaver 12
Jessie M Weaver 10
Myrtle A Weaver 8
Mattie L Weaver 6
Woodrow Weaver 2
John T Weaver 39

1930 United States Federal Census
Name: Henry M Weaver
Birth Year: abt 1881
Gender: Male
Race: White
Birthplace: North Carolina
Marital Status: Married
Relation to Head of House: Head
Home in 1930: Durham, Durham, North Carolina
Ward of City: 5 Part
House Number in Cities or Towns: 905
Dwelling Number: 312
Family Number: 416
Home Owned or Rented: Rented
Home Value: 30
Radio Set: No
Lives on Farm: No
Age at First Marriage: 18
Attended School: No
Able to Read and Write: Yes
Father's Birthplace: North Carolina
Mother's Birthplace: North Carolina
Able to Speak English: Yes
Occupation: Salesman
Industry: Clothing Store
Class of Worker: Wage or salary worker
Employment: Yes
Household Members: Name Age
Henry M Weaver 49
Addie Weaver 50
Myrtle Weaver 17
Madeline Weaver 15
Woodrow Weaver 14
Ethel Weaver 8

North Carolina, Death Certificates, 1909-1975
Name: Henry Milton Weaver
Gender: Male
Race: White
Age: 59
Birth Date: 17 Feb 1878
Birth Place: Granville, North Carolina, United States
Death Date: 12 Jan 1938
Death Location: Durham, Durham
Spouse's Name: Mrs. Addie Weaver
Father's name: Raynor W Weaver
Mother's name: Bester Roberts