If they were well off, there may not be a pension. You had to prove you were indigent to receive a Confederate pension from Texas. Pensions were typically from the state where you lived, not where you served.
What are the dates of death? Many states did not establish pensions at all until fairly late.
All Confederate pension application for Texas (i.e. for CSA vets who lived post-war in Texas, and their widows) have been filmed on 700 microfilm rolls. The Mormons have them on film, so contact any local LDS (Mormon) church and ask where the nearest "Family History Center" (ask about its hours, too). The index is on microfilm roll 960279. The pensions themselves are on rolls starting with #960664. You can rent the microfilm online through www.familysearch.org or at the Family History Center. However, the film can ONLY be viewed at the Family History Center.
Andy I forgot to say W.R. Vinson was still in Alabama until 1875 before he moved to Texas. By the way thank you very much for all the good information and help.
Happy to be of assistance. I didn't find William Riley Vinson in the Confederate pensions, but (as Allie says), it's entirely possible he didn't qualify for one. The specific rules varied from state to state, but generally one had to be nearly destitute to qualify.