You’re only a natural-born citizen if you are born in the United States to citizen parents. If you must rely on statutory law to determine your citizenship instead of natural law, you are NOT natural born.
http://www.freerepublic.com/focus/f-backroom/2512143/posts?page=428#428
The Constitution does not in words say who shall be natural-born citizens. Resort must be had elsewhere to ascertain that. At common law, with the nomenclature of which the framers of the Constitution were familiar, it was never doubted that all children born in a country of parents who were its citizens became themselves, upon their birth, citizens also. These were natives or natural-born citizens, as distinguished from aliens or foreigners. Some authorities go further and include as citizens children born within the jurisdiction without reference to the citizenship of their parents. As to this class there have been doubts, but never as to the first
Pretty much says it.