ed,
“Subject to the jurisdiction of “ refers to people who have the responsibility of citizenship, in the United States, and not elsewhere.

If you are here Illegally, it is prima facia evidence that you are subject to the jurisdiction of somewhere else.

The amendment was very narrowly aimed at freed slaves after the civil war, to grant them citizenship after they were no longer chattel.

If your parents are legal, they can stay here and raise you. Otherwise, not so much.

Best,
Ted