It's a difficult situation. Getting children when you can't take care of them is wrong, but it's also wrong to punish the children for their parents stupidity. I guess we could just give them a knife and tell them "Hey kid, too bad but your existence is a mistake so would you kindly slit your throat before you reproduce or in any other way cause trouble for us." Perhaps the old way of feeding unwanted kids to the wolves weren't such a bad idea after all? Nah, that's not the kind of world we live in. Is it?
Since we can't just get rid of them it's important that the kids don't grow up into troublemakers, that they don't turn out like their parents. They need support and that'll cost money, sure, but the chances of them growing up into criminals is high and the result of that will also cost a lot of money, even lives if things go horribly wrong.
Of course, it's important that all resources go to the kids, and not to support their mother's lazy lifestyle, which is...difficult. In this very situation you might have to take the kids away. While that would to some extent punish the kids the situation is just too extreme. Give her an ultimatum. Take responsibility or we'll take your kids away and leave you here. We'll provide for the children but you won't get a penny before you start to act like an adult.
Preferably, the situation shouldn't ever have to get this out of hand. Not even close. Measures should've been taken a long time ago. I guess forced sterilisation sounds harsh but what these parents do to their kids is cruel and thus I think such a punishment is acceptable.
