Read my tagline. He said this. It is further clarification of exactly what he meant.
You are out of sequence.
His “of parents owing allegiance to no other sovereignty” statement was in 1866 but his “Who does not know that every person born within the limits of the Republic is, in the language of the Constitution, a natural-born citizen.” came in March 1868. After Congress had debated the 14th Amendment and passed it on to the states for ratification. And after 17 states had already ratified it.
Obviously he changed his mind.