If you fit this, then you are a US citizen at birth without any action by anybody:
***(a)SEC. 301. (a) The following shall be nationals and citizens of the United States at birth:
(7) a person born outside the geographical limits of the United States and its outlying possessions of parents one of whom is an alien, and the other a citizen of the United States who,
prior to the birth of such person, was physically present in the United States or its outlying possessions for a period or periods totaling not less than ten years, at least five of which were after attaining the age of fourteen years: Provided^ That any periods of honorable service in the Armed Forces of the United States by such citizen parent may be included in computing the physical presence requirements of this paragraph.
***
Yeah that physically present in the United States thingy wasnt fulfilled...
ah well...
(But those idiots at Ancestry have insisted for years that my great grandmother was born here ...)
LOL
Pub. L. 82-414 § 301(a)(7) grants citizenship at birth by law, i.e. naturalization.