I don’t think it is as significant as you think. Vaugan was born in England before July 4th, 1776. His mother might be American now but she could not have been when he was born (unless he is 4 years old). He is without question a British Subject.
You can find the letter here. I can provide a screen shot if you wish.
It does give clarity as to John Jays view on citizenship. Everyone that was born in (future) American/had been in (future) America as a citizen of a state, was grandfathered in when the Constitution was signed.
He references Vaughan’s mother as an American. He does not say, “is now an American”.