I understand there were rumors Mrs. Cruz was not an American citizen, but I don't know if it was ever proven.
I was one of those who argued about this NBC issue for months when Cruz was in the running for the presidency, but in the end, I think the only way this whole thing is going to ever be resolved is through an appeal before SCOTUS. Certainly can't depend on the lazy, corrupt lumps in congress to pass clear, concise legislation accurately defining once and for all the term "Natural Born Citizen." Hell, some of them would probably want to make an illegal or a so-called Middle East refugee presidency without any kind of citizenship at all.
SCOTUS did nothing but muddy up the NBC waters during the Obastard Reign of Terror. IIRC, it threw out every case that ever came to it on the subject. There were some cases that never made it to SCOTUS (OK, briefs written in pink crayon with little hearts drawn as the dots in the ''I'' don't count). I don't think one case was ever heard on the merits, in any District Court. As a result, anybody can be any nationality they choose for the convenience of the moment.
Want to claim Kenyan citizenship to get a scholarship? Later claim US when running for Preezy of the United Steezy? Go for it.
I'm aware I could be wrong on this. Media coverage was very poor and when it existed, it was to scoff at people on the right and conflate them with the 9/11 ''truthers'' and moon-landing conspiracies.