Wow. Just wow.
Many folks born in the Panama Canal Zone know that they are U.S. citizens because their parents are U.S. citizens. They are not, however, eligible for the Presidency BECAUSE the Canal Zone was never U.S. sovereign territory. Born in the Canal Zone meant born in Panama.
We leased and managed the Canal Zone while Panama never released sovereignty over their own land. We no longer have the lease.
Natural born citizen IS NOT a statutory type of citizenship. It is only an eligibility requirement per Article II of the U.S. Constitution.
There are three types of citizenship recognized by the U.S. government.
1) Native born - born within the United States.
2) Derived citizenship - born overseas to U.S. citizens.
3) Naturalized - foreign born citizen naturalized as U.S. citizen.
See the following:
U.S. Citizenship and Immigration Service
In most cases, someone born to U.S. citizens overseas would be citizens at birth, a natural born citizen.
Derived citizenship is citizenship passed on to the child from parents who become naturalized citizens.