I have found in my search a Thomas Jefferson adams, married to a maggie graham adams.I even think that Thomas Or T.J. as they called him his dad i think was also TOM or thomas.I dont know if they are the same branch as yours or not.
Thomas and maggie had several children, RG adams Or robert graham ( my ggrandfather) hugh, corbette tom and katie.
in the 1910 census it looks like maybe he remarried to a berth or bertha and they also had a child beatrice. I could go on in a little detail, if you need more from me i wouldbe more than glad to share,
I you have any information that maybe could confirm any more for me i woudl so appreciate it.
I think from the census listing i have it has them coming from VA to TN Then to ARK