Native and natural born are interchangeable, so it fits into your list of types of citizenship. As for derived citizenship, it's just a form of naturalization, or citizenship derived after birth. This is what your link says, so I don't see where your confusion comes from.
Nope. Once again you’re wrong.
I know you, 100% in the tank for Obama, can’t admit that you’re wrong.
But you haven’t the right to spread disinformation.
....Native and natural born are interchangeable....
Says who?