Oh dear oh dear. Aside from the fact that Ms Gellard appears clueless as what the primary functions of a country's constitution should be, she seems blissfully unaware that the UK already has a written constitution; it's just famously not codified. There's a difference.
Parliament can, and do, rewrite parts of it by passing bills. So instead of turning the whole country's legal system upside down, which she is clearly implying (for what admittedly is not an ignoble cause) all Parliament needs to do is pass a Child Poverty bill.
They already have, under the last Parliament:
Yvette Cooper is to publish plans to place a legal duty on all future UK governments – including any future Tory administration – to abolish child poverty by 2020.
The proposed bill, to be discussed in cabinet tomorrow, will establish four separate targets in primary legislation, Cooper, the new work and pensions secretary, said. "I am absolutely clear that this is about reducing inequality, and being bold about what a future Labour government's vision represents. It is not simply about reducing poverty. It will embed a desire to reduce inequality in our society in legislation."
Passed in 2010, one wonders why it took Labour so long? Well simple, because after 13 years in power, with the Labour putting into practice of using the state to 'get rid' of child poverty, this was the net result:
The full scale of Labour's failure to help the poorest in Britain was laid bare yesterday with revelations that hundreds of thousands of people were being plunged into deprivation even before the recession hit, and that the Government had been unable to make any impression on the numbers of children and pensioners in poverty.
And what did Labour think was more important than the cause that Ms Gellard thinks we should change the constitution for (my emphasis)?
Ministers were forced to admit that they had all but abandoned Labour's historic promise to halve child poverty by next year, telling The Independent that the state of the economy meant that saving jobs had to be the priority.
Still, it's nice to know that her privileged education wasn't wasted.