James Madison, who had no part in drafting the 1790 Act, led the committee which drafted the 1795 Act which repealed the careless language of the 1790 Act.
Another way to look at it is that Madison thought that the Congress had the power to define Natural Born Citizen in 1790 and he used the same power in 1795 to rewrite the legislation. This, among other reasons, is why many in the Judiciary believe that this dispute must be remedied by the Congress and not by the Courts. They are relying on the Plenary Power of the Congress from Article I, Section 8, U.S. Constitution.
In England people are divided into aliens and natural-born subjects (Commentaries, Blackstone, Bk 1 Ch 10). They are “natural born subjects” because the “King becomes a naturall Father to all his Lieges at his Coronation” (The True Law of Free Monarchies, James I of England (1598)).
Such is not the case in the United States.