This is not my situation but I am curious since i heard about Trump's new immigration law.

What is my nationality if I was born in America to Bahamian (or any foreigner) parents who have no legal right to the USA? Meaning they just travelled there legally to have me; like tourists. I would be a birthright citizen of America but would my nationality be American or Bahamian?

Like, I think people born in Puerto Rico, Guam and the US Virgin Islands would be US citizens but their nationality would be Puerto Rican, Guamanian and Virgin Islander right?

I need answers lol