I suspect that your Thomas Ward is related to the ones in Smithland. Three of Moses Ward Taylors sons came to TX as far as I know. Ward Taylor settled in Smithland, Job Taylor settled in Longview and Joseph Taylor settled in Harriosn County, some of his descendants went to Upshur co. I have very little information on Joseph Taylor. I am descended from Ward.
What I do have is Joseph Taylor was born 1796 in Edgefield dist. SC. He married Henrietta Matilda (don't know if that is a middle name or last name) He died in Harrison Co. 1872.
They had at least one child, Moses W. b. 1822 in GA. who died at Upshur Co. TX bet. 1880 and 1900. They had at least one child, Joseph W b. abt 1852 in Harrison Co. and died at Colman TX in 1918.
I suspect that your Thomas Ward came from the Moses W. who died in Upshur Co. You may check the census records and see who the rest of his children were and see who there children were.