TX Dth Idx Online shows: William F. Morse, d 2-17-1971 in FRANKLIN Co, TX.
Do you know when and where George died? If so, obtain a copy of his death certificate, it should show the names and birth locations of his parents.
Have you tried the Limestone Co, TX GenWeb site? Some GenWeb counties are putting their cemeteries online, and some are even getting other records online, too. Post a query, see if anyone has a copy of the published history of Limestone Co, and see if they will check their copy for information on your family. Also, check Hopkins Co, TX GenWeb site, for same reasons.