There was an Adam Clements of Walker County, GA who was 65 at the time of the 1870 US Census, Mary W H Clements was 60, Cicero T was 28, John A 26, Joseph W Cavender 26, and Martha A Cavender 20. Also, Martha Lawry was 16. All Household members were born in GA.
"United States Census, 1870," database with images, FamilySearch