Our constitution says native born. We are not France or Russia.
Obama's mother was definitely born in the US. If someone were to prove after the election that Obama was actually born in Kenya, and he had won, I suspect Congress would just redefine "natural born" so he would qualify (by making anyone who had one parent born in the US a natural born citizen--the only snag at present is that Obama's mother was too young to meet the terms of the law).