I have a Jesse Cannon, b. 1770, son of John, from Spartanburg, SC. He had a son, Jesse, b. 1808 in Sptbg. There was also a Jesse, b. 1828, son of James and Charity Wyatt Cannon, brother of my ancestor, Vincent Cannon. There are others later on. Didn't find anything like Readmon. That was probably Joseph's mother's or grandmother's maiden name.