Not all areas do what Birmingham seems to. There isn't a council house in my area that is larger than a 4-bed. There is no school uniform help, no help with the costs of school swimming lessons (at £5 a week, they're not cheap).
No help with preschool costs until the term after your DC turns 3yo, either - and they only take a September intake, so most people have to pay at least £45 a week for 3 half day sessions of preschool for a minimum of one term.
No, she shouldn't have a 6-bed house when she's on benefits, is she bloody insane?!
I have a friend who did have 10 DC's in a 4-bed, but now 3 have left home she has 7 in there, a mix of boys and girls ranging in age from 5yo to 17yo.
Ok, her DH works now, and earns a fucking shed-load, but when they got the house, he had just left the army and they didn't have a pot to piss in.
I can see NO reason why she can't fit 7 DC's in a 3 plus parlour (a 3-bed with a dining room that you turn into a fourth bedroom), or a 4-bed at a stretch.
No, £2k won't go very far if you are renting a 6-bed bloody house - in my town a FOUR bed private rented is £1,300 PCM.
She NEEDS to downsize her house, and to learn to budget better.
Clothing costs need careful thought with a large family - to get the best out of the clothes so that they can be passed down, pay £1-£3 more per item and get them from a shop that sells better quality clothes, rather than buying supermarket clothes that only last a few months before being trashed.
If you have lots of DC's, cheap clothing is a false economy.
She could cut down on things like Sky, less presents on Birthdays and Christmas, cheaper food etc.
And FGS make the Father's pay PROPER maintenance!!
She didn't 'make' all 7 DC's by herself, did she?!
Why is it only HER getting vilified?