The Jesse Veasey that you mention is interesting, Charley B. Veasey had an uncle named Jesse who would have been born about the time you mention, and he likely died in Jones County because that was the county in which his brother Abner, who was Charley's father married.
This is the first time I have heard of any of them being born in Maine. Most of the Veasey family came into North Carolina, and eventually Georgia from Maryland. Are you certain of your birthplace.
My original message was an attempt to straighten out the fact that Charley's mother Frances Ferguson, was not the oldest of the Ferguson girls.