The 1939 case of Perkins Vs. ELG shows who can be a natural born citizen, while the 1898, Wong Kim Ark vs. U.S. defines a “native born citizen”. Some people get confused between native born citizen versus natural born citizen. The Supreme Court did not interchange the terms because they do not have the same meaning. If they did, then Ark would be a Natural Born citizen.
(I stole that from RS - thanks)
Native-born citizens are natural-born citizens as per the 14th amendment.
Having read the Elg decision I can safely say that nowhere in there did Chief Justice Hughes say that Marie Elg was a natural born citizen. He noted that she became a citizen at birth by virtue of being born in the U.S. and that she did not lose her citizenship when her mother returned to her native Sweden with her daughter. Likewise, the Ark decision does not make a distinction between native born or natural-born or citizen at birth or citizen by birth but indicates that they are one and the same.