This is a collateral line for me and I'm excited that someone has shown some interest in these folks!!!
Certainly sounds reasonable that Garrett Burton would indeed belong to this couple but I've not found anything else about them.If I find anything, I'll let you know.
In my files I have that John Anderson Burton died in Henry Co., Tn. after 1850.Estimating that he was born after 1756 & probably much later, he could have had a son living in the late 1700's.John Anderson Burton was born in Louisa Co., VA. Garrett could also be a grandson or nephew since they tended to name their children after siblings more than themselves.
John Anderson Burton was the son of Charles Burton and Mary Hunt who married March 10, 1751 in Goochland Co VA and died in Spartanburg Co., SC about 1800.He has other children and grandchildren who were in Kentucky near Allen County, KY.