Just a little clarification on this - a LOT of people DO NOT realize the significance of the 14 years of residency within the United States ...
In the times of the Founding Fathers, one was NOT considered a citizen [in his own right] until he reached the age of majority. In this case, 21. The additional requirement of 14 years residency BEGAN at 21, so that the INITIAL year that one could consider a run for the Presidency was at the age of ... [wait for it] ... 35 !!!
Not ONLY did one need to be born a "natural born citizen", but he HAD to have had 14 years CONTINUOUS residency within the United States [excluding vacations] IMMMEDIATELY prior to his run for office ...
Any form of citizenship at birth, regardless of parental citizenship, is by definition natural born citizenship in US law.
All others are naturalized.