No. We can agree that there is a difference between natural-born and naturalized citizenship. Those are the only two mentioned in the Constitution. So if you are not one then you are the other.
Wrong, of course. Naturalized means that you were once NOT a citizen, but through a legal process you became a citizen. But some people are born citizens, even if they are born of one parent citizen in Canada, as an example. This is true because of statutes passed by various countries. But some people are born of two parents within the country that recognizes their citizenship. These people, no matter which country they are born in anywhere in the world, require NO accessorial documentation... They are natural born.