[RobbyS]

The Canadian law does not apply in the USA.

[RC one]

No does US law apply in Canada. The common law, however, applies in both countries and Horace Binney had this to say on the common law and naturalization laws in America:

The notion that there is any common law principle to naturalize the children born in foreign countries, of native-born American father and mother, father or mother, must be discarded. There is not, and never was, any such common law principle.

This determination has been the basis of US law for about a century now.