The Constitution does not use the words "native born". Modern usuage of that term means "born in the country", but various earlier writers including Vattel (in translation) use the terms "native born" and "natural born" more or less interchangeably. (Vattel of course used "Les Naturels, ou Indigenes", since he was writting in French") So did the Supreme Court in Minor v. Happersett, where they wrote: "all children born in a country of parents who were its citizens became themselves, upon their birth, citizens also. These were natives, or natural-born citizens"
Clealy they required more than the 14th amendment's "Born in the United States", which is what we today call "native born".
There was not unanimity on the subject. There are lots of quotes on the other side. That is why it has been in dispute.