You can argue with me and anybody else until you’re blue in the face. I’ve heard these claims for years and years and years. The true believers REALLY believe it. Yet....nothing ever happens that would validate their belief. As interpreted currently and since the late 19th century, if you are born on US territory you are a natural born citizen. Your parents’ citizenship is irrelevant.
"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."