So I've noticed.
People of 1787 knew what the words meant. Oddly enough, the meaning of "natural born citizen" was deliberately corrupted by the abolition movement, and most especially William Rawle.
William Blackstone said it was location, jus soli, rather than citizenship of the parents, jus sanguinis, that decided natural born citizenship, and he wrote that in 1765.
And what role did William Blackstone play in the formation of the US government?
Citing William Blackstone, the premier expert on Monarchist based English law, is a good example of what I meant when I said "People nowadays are ignorant and silly." William Blackstone's position on Independence from the United Kingdom would have been "it's illegal."