The information I posted for the "Chickasaw by Blood Enrollment Cards" came from a partial list that was published in the "South Eastern Native American Exchange" Vol. 8, No. 1, Fall 2000, ISSN 1085-6293; John Wesley
Parker was not on the partial list. The above publication lists a website
http://www.angelfire.com/al/senaexchange/ that may offer other volumes that could contain the information you need.
I did check another source that does list a J. Wesley
Parker in the index which turned out to be a "John Wesley
Parker" who's parents died when he was young and was raised by his aunt, Hettie
Frazier widow of
Jackson Frazier. His aunt's Indian name was Hamalula-tubby and after the death of
Jackson Frazier she married
Cyrus Harris. The bio-sketch does not mention J. Wesley Parker's parents names or the names of his aunt's parents. It doesn't even mention if
Parker was married. This source was originally published in 1891. If this is your John Wesley
Parker maybe his aunt's Indian name will help you in your research.