Let’s buy Jasmine a plane ticket so she won’t have to break immigration law and can live with her parents in their country.
Win-Win.
The longer this drags on, the more hearts and minds attacks by the media.
Yes, Mexico is her parents' country. However it's Jasmine's too. She is only loosely speaking an "American". She's really a Mexican who was born here.
She's exploiting the wording of the Constitution. She is as much an American as, oh, as let's say Obama. Both he and Jasmine should return to their own countries.
By the way, you are way too generous suggesting a plane ticket. A bus ticket is might good enough. It would get her used to bus travel, a time honored tradition in Mexico, and reacquaint Jasmine with her roots.