I didn't see your other post regarding this situation, but I'm commenting here, anyway.
I think the stance your taking is not going to benefit from anyone. Instead of teaching your daughter that she was unjustly fired & that she was wronged, why not teach her that this is what happens in the real world? That it's not okay to be so careless? That if you are given any degree of responsibility, you must follow through & make sure you are doing your job correctly? It sounds like you are not fond of this company, and your attitude is & probably already has rubbed off on your daughter. How old is she, by the way?
Secondly, just because you are in training doesn't mean that you are going to have someone watching you & breathing down your neck the entire time. I'm sure there's a provision in their company handbook about commissions & training periods. And just to be clear, she closed the department, not the whole, entire store, so it's not as if she had that much weight on her shoulders to begin with.
Thirdly, she did not work there for long enough to receive unemployment benefits. Nor would she get anything even if she had, because she was fired due to her own mistake, which put a company asset at risk. There is no "cheating" involved. She did this to herself & must pay the consequences.
You also have NO idea what her job performance was, and you were never there to see her work, so maybe they did use this as a convenient excuse to fire her, but really, you're her mom, of course you're going to think she's perfect.
I'm sorry, but I think your anger is misdirected & that you are teaching your daughter to have a sense of entitlement, that the rules don't apply to her & that acting like a spoiled brat will help you get your way . You should encourage her to take it as a life lesson & a mistake not to make again. She got fired because she messed up, end of story. It's her fault. How you can be so indignant is beyond me. I understand being frustrated, but really, I don't think anyone has a leg to stand on here.