According to any reference “naturalized” does not mean what you think it means.
strangely enough, i am intimately familiar with the term.
my parents were naturalized, my mother after i was born.
as such, i was born a US citizen and british by descent.
i am not a natural born US citizen and am therefore not eligible for the office (the lefties can breathe a sigh of relief)
if my father was not a US citizen prior to my birth, and i was born in the US, i would have been a naturalized citizen upon birth.