I wanted to follow up with everyone and thank you all for responding and trying to help me. After a lot of searching I feel that I have found what I was looking for. My Mother and some cousins that I had not met, both have family trees(very old, both from a family bible, and an old poster type) listing John Henry Wright as the father of my William Thomas Wright. I have found old family photos of John Henry that has him listed as Great Grandpa, which is what he would have been to my Mother and her siblings. I have also found the 1880 census listing the family in Van Buren, Arkansas. I have been able to verify John Henry also by his second wife, whom he is buried with in Berryville, Arkansas.
Thanks again for all the responses, and if I can be of help to anyone working on this line, please let me know.