In modern usage, all natural born are native born however, not all native born are natural born.
I don't see anything in WKA that draws a distinction between natural BC and native BC. Can you point it out?
In looking, though, I did stumble across this interesting tidbit:
[The Levy v. McCartee decision] treated it as unquestionable that, by that law, a child born in England of alien parents was a natural-born subject, quoting the statement of Lord Coke in Co.Lit. 8a, that, "if an alien cometh into England and hath issue two sons, these two sons areindigenae, subjects born, because they are born within the realm..."I note that Lord Coke used (in Latin) the same term Vattel used (in French) that some insist must apply to the definition of NBC. It looks to me like Coke says someone born in the country of an alien father is nonetheless a "subject born," and that the Supreme Court justice took that to mean the sam as "natural born subject." Again, this strikes me as contradicting what the "birther" side usually claims about what Vattel meant. Do you think Vattel knew of Lord Coke's writings?
You have to do nothing more than look at Vattel’s definition and Justice Waite in Minor (also cited by Gary in WKA) that natives and natural born are interchangeable, except that to be a native (or native-born) = being born in the country to parent who are citizens. Our constitutional definition of native is not soley a jus soli definition.