Just in case some other folks are also looking to connect - here are some of the names you've mentioned from census data.

This seems to be your Jacob in 1900:

Name: Jacob Harris
Home in 1900: Henderson, Vance, North Carolina
Age: 47
Estimated birth year: abt 1853
Birthplace: Mississippi
Relationship to head-of-house: Head
Spouse's name: Polly
Race: Black
Occupation: Shoe Repairer

Household Members: Name Age
Jacob Harris 47
Polly Harris 41
Sally Harris 21
L??A Harris 12
Annie Harris
Abraham Harris 8
Jacob H Harris 6
Polly Eugenia Harris 4

Here’s a Haywood in 1870 – but not living with a family unit:

Name: Haywood Harris
Estimated birth year: abt 1849
Age in 1870: 21
Birthplace: North Carolina
Home in 1870: Henderson, Granville, North Carolina
Race: Colored (Black)
Gender: Male
Value of real estate: View image
Post Office: Henderson

I see two Haywood Harris’ in 1880:

Name: Haywood Harris
Home in 1880: Henderson, Granville, North Carolina
Age: 29
Estimated birth year: abt 1851
Birthplace: North Carolina
Relation to head-of-household: Self (Head)
Spouse's name: Celia
Father's birthplace: NC
Mother's birthplace: NC
Neighbors: View others on page
Occupation: Farmer
Marital Status: Married
Race: Black
Gender: Male

Household Members: Name Age
Haywood Harris 29
Celia Harris 25
Ben Harris 6
Lawrence Harris 3
Wm. H. Harris 10M

Name: Haywood Harris
Home in 1880: Brassfield, Granville, North Carolina
Age: 26
Estimated birth year: abt 1854
Birthplace: North Carolina
Relation to head-of-household: Self (Head)
Spouse's name: Elizabeth
Father's birthplace: NC
Mother's birthplace: NC

Occupation: Works On Farm
Marital Status: Married
Household Members: Name Age
Haywood Harris 26
Elizabeth Harris 21
Alonzo Harris 3
Abraham Harris 2
Harris 2M

In 1900 one of the Haywoods is listed as Haymond:

Name: Haymond Harris
Home in 1900: Henderson, Vance, North Carolina
Age: 51
Estimated birth year: abt 1849
Birthplace: North Carolina
Relationship to head-of-house: Head
Spouse's name: Celia
Race: Black
Occupation: View image
Neighbors: View others on page
Household Members: Name Age
Haymond Harris 51
Celia Harris 46
William H Harris 20
Lena Harris 17
Lula Harris 15
Isaac Harris 14
Branch Harris 12
Haywood Harris 10
Viola Harris 7
Mary Harris 4
Andrew Harris 1