Let's try and fill in what you know about your father first, this will give you a base from which to spread out and look for other members of the family.
Going on the little you gave on your father, is the following a match?
Combined info from TX Dth Idx and SSDI:
Ford, Ola Lee, b 12 Jan 1899; d 22 May 1966 Galveston Co, TX; widowed; last residence Galveston, Galveston Co, TX; SS card issued in TX.
Do you know about when your father's family went to TX?Was he born in TX, or AL?If the above is your father, you can obtain a copy of his death certificate which should show the names of his parents.Accuracy only as good as the knowledge of the informant, on the other hand, he filled out his application for a Soc Sec card, and it should show the names of his parents, his residence at the time of the application and other data, too.You can obtain a copy of that application.