“We start,” Justice Douglas wrote for the Court, “from the premise that the rights of citizenship of the native–born and of the naturalized person are of the same dignity and are coextensive. The only difference drawn by the Constitution is that only the ‘natural born’ citizen is eligible to be President.”
http://www.law.cornell.edu/anncon/html/art1frag64_user.html
Good find. That’s a pretty dang clear Supreme Court justice’s opinion on the distinctions of US citizenships. As we see another example of native is not natural born.