George could be the son of John Ward b-abt 1798. This John ward is listed in several census records for hawkins county Tennessee 1830, 1850, 1860 & 1870.
John had a son named Thomas b-abt 1837 who named his son George. I know this george's age doesnt fit yours but they often passed the names down.
Your George may be one of the children listed w/John Ward in the 1830 census.
This same John had connections in Ky. Alan