This won't be of much help to you, except it is Palo Pinto Co., not Palo Patilo:
1880 Palo Pinto Co., TX census:
James H. Williams, age 29, b. LA, farmer, parents b. LA
Clarinda, age 21, b. LA, parents b. LA
James S., age 1, b. TX, parents b. LA
I looked at the 1860 census for Claiborne Parish, LA, but couldn't find any Williams who had a son named James Henry, age 9. Perhaps they had already moved by then.