Your Abraham seems to be named for his grandfather:

View Record Name Home in 1870
(City, County, State) Estimated Birth Year BirthPlace Race Gender View Image

Abe Archibald Precinct 1, Brazoria, TX abt 1832 North Carolina Colored Male
Daniel Archibald Precinct 1, Brazoria, TX abt 1860 Texas Colored Male
Harriet Archibald Precinct 1, Brazoria, TX abt 1843 Alabama Colored Female
Laura Archibald Precinct 1, Brazoria, TX abt 1863 Texas Colored Female
Mary Archibald Precinct 1, Brazoria, TX abt 1869 Texas Colored Female
Rhoda Archibald Precinct 1, Brazoria, TX abt 1861 Texas Colored Female
Sarah Archibald Precinct 1, Brazoria, TX abt 1867 Texas Colored Female