Why can't there be a kind of half-way house for people like Jamelia or the other young mum? So, if you're pregnant and a teenager, with no educational or vocational prospects, and you want the financial support of the government, you go to some form of specialised accommodation, where you can live with your baby, with access to education, healthcare, help to budget, help to manage your own affairs.
So, for example, Jamelia could have moved into such a place when pregnant and her 'side' of the bargain could have been to stop smoking/doing drugs etc and go regularly to classes, with the knowledge that if she did stay on the straight and narrow and make an effort to improve things, she'd be able to look after her baby, rather than have it taken into care. Then, once the baby was born, she could have been helped to breastfeed, look after it, as well as how to manage on a day to day basis. She'd be given access to contraception and part of the deal would be that she regularly stayed on contraception and didn't have more children until she was in a position to be able to independently support them. Then, as the baby got older, she could have been given some kind of childcare whilst she continued getting qualifications. With the end result, that after maybe a few years, she could have left the halfway house, moved into independent living with her child, with a job and a future. If she didn't comply with the programme, then she would have the baby taken from her.
So, a carrot and stick approach if you will. The idea could work too with the father moving in and learning and abiding by the rules.
I'm sure people will argue that it's patronising and that why should only certain classes of parents be forced to live like that etc, but frankly, it's a win-win in terms of breaking the cycle of poverty and lack of ambition. It would be economical in the long-term too, although labour-and-money intensive in the early stages.
It may be argued that forcing certain young people/families to live a certain way is paternalistic, but it would work. People wouldn't end up with 5 children at 21, no job prospects and living in poverty.