Does anyone have a copy of your father's birth certificate?It should give the correct spelling of his father's name, his age and where he was born, too.
This may be your uncle, from TX Dth Idx:
Watts, Dewey Royce, d 3 Dec 1991 Uvalde Co, TX.
You might look for an obituary on him.Survivors are usually listed, and a good way to pick up marriednames of any females in the family.The obit might give enough information for you to be sure if he truly is your uncle.
Also, I don't think I'd put anything out on the internet about your uncle'salcoholism, his children probably had to deal with that when he was alive, and it might keep you from making contact with them.I'm sure finding your cousins is more important to you.Here's hoping you do find them -- there's always the chance they know something about the family that would help you with your search, so I'm keeping my fingers crossed for you.