You have a nice query, but you didn't include any dates for anyone, so I went looking for death records first. This shows Jackson;s name as Andrew Jackson Champion.
TX Dth Idx thru 1976:
Name: Zachary Taylor Champion Death Date: 11 May 1926 Death Place: Snyder, Scurry, Texas Gender: Male Race: Death Age: 79 years 5 months 11 days Estimated Birth Date: 1847 Birth Date: Birthplace: Marital Status: Spouse's Name: Father's Name: Andrew Jackson Champion Father's Birthplace: Mother's Name: Eliza Scott Mother's Birthplace: Occupation: Place of Residence: Cemetery: Burial Place: Burial Date: Additional Relatives: Film Number: 2114142 Digital Film Number: 4056649 Image Number: 1962 Reference Number: Item 5 19316
On Rootsweb's WorldConnect site -- http://wc.rootsweb.ancestry.com/cgi-bin/igm.cgihttp://wc.rootsweb.ancestry.com/cgi-bin/igm.cgi -- Type in Champion, Jackson, spouse Scott and you'll find a couple of people working on this line. One even has other spouses for both Jackson and Eliza. Maybe by sharing y'all can find parents of Eliza. Finding Eliza with first husband might help. Also, these people have locations to try for records.