usualsuspect Surely it would be the parents of those children who would be happy for them to go without if it were made clear to them before they conceived that having more children whilst on benefits would not result in more benefits? 
Just as there are some parents out there who are alcoholics, drug addicts or gamblers and live on benefits. Would you suggest that they receive extra benefits to cover their addictions, so their DC don't go without?
I don't want to see any DC go without, but many many DC do, simply because of the choices that their parents make. If we are to work towards ensuring that children do not go without, regardless of the choices parents make, then continuing to finance the children is not the solution is it? Surely the solution is to manage how the money is spent to ensure it is spent on providing the children with the things they need??
I am not supportive of a society that controls how the poorest people spend their money, so to reduce the amount of extra benefit parents receive for subsequent DC is one way of cutting the benefit bill surely??
I have said before on similar threads that imho, if a family are already on benefits, then continue to have another child, I find it hard to accept that they need an extra £75 a week to raise that and subsequent children. (£60 approx CTC, £13.40 CB, £3.10 healthy start voucher.)
It is not difficult to see that whilst having one child on benefits is going to be a struggle for many many people, once a parent on benefits has had 3 or 4 children, it is much easier financially when the increase is between £70 and £75 per child per week?
Example : Couple on benefit with 1 child receive full housing benefit/full council tax benefit, £102.75 JSA, £60 CTC, £20.30 CB, £3.10 healthy start voucher. Grand total after rent/council tax is paid = £186.15.
Same couple after having their 4th DC will receive full housing benefit/council tax benefit, £102.75 JSA, £240 CTC, £60.50 CB, £6.20? healthy start voucher.
Grand total after rent/council tax is paid = £409.45.
Surely it has to be easier to cope on over £400 after rent/council tax is paid per week for a family of 6, than on less than £190 a week after rent/council tax is paid for a family of 3??