I doubt if it is always their fault but they do need to know they are not going to reverse into someone.
You say the other person hit your daughter's car. Difficult to determine without witnesses. And the other car can't be a write off if, as your say, the woman drove off without stopping.
Put it in the hands of your insurer, tell them all you know, let them deal with it, it's what you (over) pay them for.



