Born here of citizen parents.
Anything else can allow for foreign influence which is what they were trying to avoid and why they stipulated it.
I believe they used Vattel’s definition.
Vattel was a Frenchman. I don't doubt that some of the Framers were aware of his work, but they were Englishmen or descended from Englishmen. The Framers were writing for other native English speakers and so would have meant whatever the common ENGLISH usage was at the time. This is what the Oxford English Dictionary strives to capture. The fact that they offer no example where parentage and place are both relevant is telling.
ML/NJ
What you believe really isn't relevant, though, is it? Vattel's The Law of Nations, which you have previously mis-cited as well, is not a founding document. Nor does it contain the definition you ascribe to it. You just use it with the expectation that nobody else has bothered to research what you claim. While the Founders may (some were, some not) have individually been familiar with it, they certainly didn't include any footnotes, so the Constitution has to stand on its own. Why is it you insist on a bogus definition attributed to a foreigner but reject the singular dictionary definition of a term in use centuries prior to the writing of the Constitution itself? Isn't that inherently foreign influence?