You mean native born citizen, not Natural Born Citizen.
Yikes!!! There is no difference between these word games, and Bill Clinton's "it depends on what the meaning of the word IS, is."
The Constitution clearly defines who is a citizen:
U.S. Constitution, 14th Amendment, Section 1 --
Section 1. All persons born or naturalized in the United States, and subject to the jurisdiction thereof, are citizens of the United States and of the State wherein they reside.
No less a person than JAMES MADISON, principal author of the U.S. Constitution (who wrote over a third of the Federalist Papers), said the following in a speech to the U.S. House of Representatives, May 1789:
It is an established maxim, that birth is a criterion of allegiance. Birth, however, derives its force sometimes from place, and sometimes from parentage; but, in general, place is the most certain criterion; it is what applies in the United States.