I do not know who your William,Sr. is, but the people who he names in his will are interesting.Thomas, Abner and Richard Adams have the same names as children of Thomas Adams (b 1758)of Fluvana Co, VA who came to Elbert Co.,GA. Thomas had other children also, but their names do not match the names of the females in your William's will.However, they would be of about the correct age to have been alive at the time of the will.Thomas also had a brother William, but I believe that he died in Cumberland Co, VA about 1778.
One would have to suspect that the families are connected in some way since there are several common names.
My line goes back to Robert Adams and Mourning Lewis in Goochland Co, VA in the early 1700's.It is thought by some that Robert's father was William Adams.