I'm a Champion descendent, not related to the Traylors, and so can't help you with Traylor family history.
I came across a Champion T. Traylor who married Avarilla White in Jasper County, Georgia on 20 Dec. 1816, and died, apparently without issue, in 1817.
Anyone named Champion Travis is probably descended from Edward Travis and Elizabeth Champion, who had a son, Champion Travis. They're found in James City and York Counties, Virginia in the early 1700's.
I hope this information may be helpful to someone.