There was one commonly accepted definition that accommodated the various and varying State determinations of citizenship, because the States were reserved that power under the Constitution. A natural born citizen is born with no other legally binding allegiance in the form of citizenship. Being born in the United States of citizen parents is the only absolutely certain birth status, though there are others born under differing status who may be determined as natural born citizens, but these have yet to be adjudicated. That to me is clear as a bell, but then I don’t strive to muddy the waters in order to get foreign nationals in control of this country.
And as I have pointed out, William Rawle, James Madison, James Kent, and others apparently didn't have the same clarity that you have. You may disagree with them but the one thing that is clear as a bell in all of this is that there was no one, commonly accepted, definition of natural-born citizen and never has been. I am not saying which definition is right and which is wrong, merely pointing out to DiogenesLamp, who I assume is still around here somewhere, that his claim that no definition of the term is needed is completely false.