Interesting. Of course, it should be noted that there could be a claim of dual citizenship. For example, Ted Cruz was born in Canada and because Canada has birthright citizenship, Cruz automatically became a Canadian citizen. Cruz was also a US citizen via jus sanguinis because his mother was an American. Cruz has since renounced his Canadian citizenship.
However, when people are naturalized in the US they are not permitted to be dual citizens. They must renounce their extra citizenship.
What do we know for sure about this? We know that Mexico claims these as their own officially.
Therefore, they are subject to the jurisdiction of Mexico.
Beyond that, I do not see a residence established on the part of illegal immigrants. The child must be ‘subject to the jurisdiction’ and been already a resident of a state. “The state in which they RESIDE.”