Go back and reread the Naturalization Act it specifies born beyond the sea or out of the limits of the United States. Which obviously means it doesnt apply to those born in the United States.
Hmm... I am seemingly unable to get the salient point across to you. Perhaps I can express it mathematically?
X = Born on the Soil. (Jus Soli)
Y = Born to citizen Parents. (Jus Sanguinus)
Z = Article II "Natural born citizen" status.
We have a couple of equations. For example,
we know that X + Y = Z, because the Supreme court told us so in Minor v Happersett.
We know that 0 + Y = Z, because the 1rst Congress told us so in the "naturalization act of 1790.
We can use two simultaneous equations to solve for "X".
Conclusion?
Apparently the "X" part of the equation doesn't matter to the Z status.
Your math is lacking.
X = Born on the Soil. (Jus Soli)
Y = Born to citizen Parents. (Jus Sanguinus)
Z = Article II “Natural born citizen” status.
X = natural born; Early American legal scholars tell us so, Several Attorneys general tell us so, Rogers v. Bellei affirms that in this, the Constitution follows English common law.
Y = By statute, this was made equivalent to natural born.