I've seen "native born" being applied to describe the set of people born on the land, without any consideration whatsoever to the citizenship or allegiance of their parents, hence my confusion.
It might be, but my point is that the Supreme Court gave a definition that shows no distinction between these terms and that BOTH are defined by having citizen parents. It's no coincidence, IMO, that Justice Gray used neither term to define the citizenship for Wong Kim Ark as he said was imparted via the 14th amendment.