Adams used the two terms in a draft commerce treaty with England in 1785.
Of course since it requires two citizen parents there were no natural born citizens in 1783 and 1785 except for those born after July 4th, 1776.
You know, prior to the advent of federal governance under the Constitution of the United States, but by virtue of our Declaration of Independence (as enforced by our subsequent military victory over the British), each former North American British colony constituted its own sovereign state and thus would have boasted of its own cohort of natural Born adult citizens, properly so-called as defined by natural law and the Law of Nations, as declared/set forth/defined, for example, by de Vattel.
“Natural Born Citizen of the United States” was not yet a thing, though, admittedly, and required time to “grow” once “naturels” began being born after the ninth state approved the new COTUS.
Hence the Hamilton-enabling grandfather clause. Bastard brat of a scotch pedlar.