Did the other child have a forbidden expensive item in school with them?
As a teacher those situations are a nightmare and in all honesty are the fault of the parents who send a child to school with an extremely expensive, new, top of the range hand held console or mobile device.
Often the child waves it around in the playground or leaves it balanced on the edge of the desk and another careless but not malicious children barrels into it and breaks it, and the parents aggressively demand really large amounts of money from the other child's parents or the school, because not only have they been idiotic enough to give their child something so unsuitable, they have of course not insured it.
Usually those items ate not allowed at school, but the parents who's child took it in don't think that's their problem.
In that situation then no, I wouldn't pay or pay for an expensive repair, and teaching right from wrong isn't one sided!
On the other hand if your aquaintence's child deliberately and maliciously broke an everyday item of school equipment like a school bag, school jumper or writing equipment then yes, a responsible parent would take that out of their child's pocket money or have them do nominal extra chores to symbolically earn the money to pay for a replacement.
It's often not clear cut though, when parents are demanding other people pay for something broken while in their young or not yet capable of being responsible child's care.
The way you report your aquaintence's attitude obviously makes her sound like an idiot and a bad parent - but the other parents are often equally so.