I would take a look at this record in 1900:

Name: Effie Haywood
Home in 1900: Camden, Wilcox, Alabama
Age: 66
Estimated Birth Year: abt 1834
Birthplace: Alabama
Relationship to head-of-house: Head
Race: Black
Occupation: View Image

Household Members: Name Age
Effie Haywood 66
Rachel Haywood 31 daughter
John Haywood 29 son
Thomas Dexter 16 grandson

Though the index says Effie - I believe this is your Abbie, looking at the actual record.

The grandson Thomas Dexter is I believe found in 1930:

Name: Thomas M Dexter
Home in 1930: Indianapolis, Marion, Indiana
Age: 44
Estimated Birth Year: abt 1886
Birthplace: Alabama
Relation to Head of House: Head
Spouse's name: Susie B
Race: Negro

Neighbors: View others on page
Household Members: Name Age
Thomas M Dexter 44
Susie B Dexter 42

He is also listed in WWI draft registration - as a labor organizer

Name: Thomas Milton Dexter
City: Indianapolis
County: Marion
State: Indiana
Birth Date: 24 Oct 1885
Race: Black
Roll: 1504018
DraftBoard: 4