Did you not see the part where I said I didn't think it would protect her?I would hope that knowing your SS# would be sufficient.
And note that people generally do not carry passports unless they expect to need them. Citizens swept up in an ICE raid are very unlikely to be carrying proof of citizenship.
And note that having a social security number doesn't prove you're a citizen. Hers predates her citizenship by several years.
The problem is to bug out means she would never work again and that would devastate her. And would mean trusting a medical system in a language neither of us speaks. Thus we are hoping for the best.