I’ve always wondered that myself. My mother tells me that there was some question about kids like us at the time, so the post commander (not sure what post) just decreed that we be naturalized, and every similar kid on the post was naturalized at the same time.
This is the story as she remembers it, and I’m certainly not going to argue about it with her, but it’s never quite jibed for me- after all, naturalization is done by the state department, and an Army post commander is a 2 star (possibly 3) general, who would not have the pull to cause such a thing do be done. Nonetheless, it was done- I’m just not sure about the causation trail leading up to it.
Just speculating...
But there was a period when kids born overseas under your situation were subject to the draft in the country where you were born. And, upon visiting that country as an adult, you may have been yanked into their armed services.
The general may have been reacting to that situation by demanding a belt and suspenders approach to your US citizenship. Not that it made any difference whatsoever in your legal status -- either in the USA or your country of birth.