There were more than one John Quincy Adams in the area at the same time, as well as other John Adams (with or without a middle initial).
The John Quincy Adams who was a hat repairer in 1873 in Lexington was born in 1824, and appears to have been the son of William Adams (b. 1785-86, MD) and his wife Catharine. William was a hatter.It is likely that Thomas Adams, hatter, b. 1811-12 in KY, was his brother.This family was in Clark County, KY, in 1850.
John Quincy Adams married 29 Oct 1845 in Fayette County, KY, Harriet Sharp, daughter of William W. and Frances (Sebree) Sharp.Known children:Frances, Mary H., John Q. Junr, Ellen and Charles.