You haven't taken into account that this was Joseph Mings, Minzes second marriage. He was married to Margaret Buttram in 1779 and had four children from the marriage before she died. They were Margaret b: 1781, Ann (Nancy) b: 1783, Aaro b: 1785, and Joseph Jr. b: 1787. I am descinded from Joseph Jr.
Jesse (Daniel) Mings born 1803 was one of Joseph Sr. children from his second marriage. You have one name wrong with the three sons of Andrew Menzies. They were Joseph b: 1755, James b: 1757, and "Alexander" b: 1759. And as you have discovered has I did that James and Alexander seem to have disappeared.