Isn't a person born to an American parent a native born citizen?

I see so many conflicting references about what native born means. Some say the person has to be born on American soil, but isn't a child born to an American parent also a native born citizen? Since Obama's mother was American wouldn't be be born as an American regardless if he was born in Hawaii or... show more I see so many conflicting references about what native born means. Some say the person has to be born on American soil, but isn't a child born to an American parent also a native born citizen? Since Obama's mother was American wouldn't be be born as an American regardless if he was born in Hawaii or Kenya? My nieces were born in Germany to American parents and they were American citizens at birth even though they were born in a German hospital. I'd just like to know the truth.
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