Assuming 0bama was born in HI, you are dead wrong. The SCOTUS has been clear on this - there are only types of citizens, natural born and naturalized. Not one single official gov’t document differentiates between natural born and NBC.
You must have meant "native born" and "natural born citizen". But there are precedents showing that the two terms are not the same. There is a difference between "citizen by birth" and "natural born citizen". FACT