They were *both* natural born citizens and citizens at the time of the adoption of the Constitution.
James Polk was the first President born after the adoption of the Constitution, so the first to *only* be a Natural born citizen, and not one at the time of adoption of the Constitution.
But perhaps that's only of academic interest, since Van Buren and Taylor were eligible, whether one counts them as natural born or not.
We really do not know the definition of natural born citizen.
Perhaps this author defines the term when he states Polk is the first natural born citizen elected President.
Polks parents were born in the Unites States.
Polk was born in the United States.