“I do not see the term “natural born citizen” written anywhere in the text. It’s of no use for Obama.”
Natural-born citizens are those who are citizens from the time of birth. You can see that from this SCOTUS ruling and he quotes from other cases they cite:
http://en.wikisource.org/wiki/United_States_v._Wong_Kim_Ark/Opinion_of_the_Court
So “citizen of the United States at birth” is another way of saying “natural-born citizen”.
Wong Kim Ark can only address naturalization. The specific, Constitutional term "natural-born citizen" was not addressed in that ruling, and could not have been, barring a Constitutional Convention, which is the only way the meaning of the term could come to mean what you claim.
The same is true for the 14th Amendment. It can only address naturalization under the Constitution, since the specific, Constitutional term "natural born citizen" remained in effect, was not altered or even addressed by the amendment.
Peddle your lies someplace else. Natural born includes not only birthplace, but TWO citizen parents.