What is the difference between natural-born and native-born?
"Native born" means you were born in the territory. For Example, Indians were "native born" but were not citizens. "Natural Born" means you are born as a citizen. (To Parents who were already citizens.)
Prior to 1922 the terms meant almost the same thing. In those days, the citizenship of the couple was defined by the man. If a foreign woman married an American male, she instantly became an American Citizen. If an American Woman married a foreign male, she instantly became a foreign citizen. This resulted in ALL CHILDREN being born to parents of the same nationality.
This all Changed with the Cable act (1922) and was extended by the "Women's Citizenship act" (1934). Women gained the ability to pass on "citizenship" on their own, and Men lost the ability to automatically naturalize their foreign wives. For the first time in this Nation's history, it became possible to have children born of split allegiances.
Such children were no longer "natural born citizens", they became "split allegiance" citizens. This is when "native born" diverged distinctly from "natural born."
I found this interesting: http://lamecherry.blogspot.com/2011/05/why-marco-rubio-is-natural-born-citizen.html