I, too, am researching this Thomas H. Adams in relation to Georgeann Adams who married William Riley Martin.
In 1860 he is listed in Craighead Co. with George A. age 4 listed as a male, and Nancy B. age 1 (I believe they are listed as Pruitt in error) Nancy A. would have been his first wife???? or is Nancy A. the wife of James B. Adams age 22 also living in that family??
I found him listed in the Jonesboro, Craighead Co., ARK census in 1870 with wife Mary A. and daughters Georgeann, age 14 and Nancy B. age 11.
In 1880 Georgeann age 21 is listed as living with M. Adams age 65 in Magnet Cove, Hot Spring, Arkansas.
Do you have a Vinson connection too? (Effie Dema) Are we tracing the Martin/Vinson lines??