I think we are all agreed that there are some people (a small minority, according to the government's own figures) who rely on benefits and do not take responsibiity for their own and their children's lives. What concerns me is that the high-lighting of the odd case like this one in certain newspapers leads to a general impression that all claimants are 'scroungers'. This must be very hurtful to those who need to claim benefits through no fault of their own.
What many of us objected to was the way the paper cynically listed all the children's parentage, which must have led to playground bullying and name calling. The mother appears to be very silly and irresponsible, although none of us know her whole story, but the children should not be demonised.
Nobody has come up with any suggestion of what the UK government can actually do once the children have arrived. Nobody wants to forcibly sterilise overly fecund mothers, or take the children into care unless they are at risk (and these did not appear to be so).
I think if everybody read the report which Micelf posted it would help to defuse the situation, as it makes it clear that we are not supporting a huge army of feckless claimants, whatever certain parts of the press try to say.
I notice that none of the people who caused the financial crisis has been punished - there may be some prosecutions in respect of the Libor-fixing scandal and Fred 'the Shred' got the boot, but plenty of the greedy and incompetent people who sold the dodgy mortgages are still drawing fat bonuses. I simply feel that incandescent anger, of the type suggested by the op, would be better directed at the banking industry.