Those are all lower cases but one thing is for sure:
The Supreme Court of the United States has never applied the term “natural born citizen” to any other category than “those born in the country of parents who are citizens thereof”.
Barnett, Keyes v Obama, Rhodes v MacDonald and Farrar, et. al. v Obama were appealed to the Supreme Court of the United States but they were denied Petitions for Writs of Certiorari or Appications for Stays. When the Supreme Court refuses to hear an appeal, the lower court ruling stands.