Don't panic! I'm sure we can work something out.
So Martin Lewis always says that paying down debt is better than saving, with the exception - you need access to money if you do have an emergency. If you have access to credit, then he says keep paying the debts, use credit for emergencies. If you don't have access to credit then it makes sense to save for emergencies, but you're basically paying twice if you don't need to, and TBH with the figures you've given, it sounds like you can't really afford it.
First priority: Are you paying off any credit cards via direct debit? You should cancel these immediately and switch to a standing order. You can keep it the same amount. The problem is that when you pay by DD, it works off percentages, so every time you pay some of, the amount goes slowly down by a few pence every month, you won't notice the increase in your own money and you'll never pay the whole debt off. If you pay by standing order at the current amount, it will stay at that amount (you can always increase it if your financial situation improves and/or debt increases.)
Secondly. Your next priority is to look at bills. What can you squeeze out there? Look at changing suppliers. If you've got anything unnecessary, e.g. big phone contract, sky, and you can't cancel it you can ask to be pushed down to the lowest package. Think about whether you could give anything up without being miserable/making life hard for yourself. Then look at any energy saving (and water, if you're on a meter) measures - try to use the oven as little as possible or double things up rather than turning it on several times a week or even day, make sure you switch things off at the plug at night, if you have a tumble drier, consider investing in a good quality clothes airer and using that.
Third. Is it worth stretching yourself so very thinly to pay off debts within a year? That is an ambitious target. If you stretched it out to two or three years, would it make the financial situation more manageable? You need to avoid stretching yourself so thinly that you actually can't afford to live and end up miserable - it's a great recipe for thinking "FUCK THIS!" and breaking out the credit card. Also, is it financially viable to combine any debts into one to reduce interest charges?
So to the cash - £80 for food for a month is not a lot. That's about £17 a week. Do you have to make sandwiches for your DD out of that or is she on school dinners? I recommend looking at Jack Monroe's website because they are very good at making food on a tight budget, and even have a few meal plans. Some recipes are nicer than others but generally, they are edible. But overall I'd try and move things around to increase the food budget. And then shop online for groceries. You can see the running total and meal plan as you go along, and it's easier to avoid impulse buys. Do it a few days in advance and the delivery charge isn't high, plus you can bulk buy staples when they are on offer and buy things like the 3kg bags of pasta. You might find that certain things are cheaper at discount stores like Aldi, and it's worth checking if you have one local (you could even walk around Aldi with a mobile phone connected to the tesco website to cross check) but if it costs you more to drive there, then it's probably not worth it.
If your income is low (I know you didn't say) then you might be able to claim healthy start vouchers which will go towards fruit, veg and milk so should be redeemable against a weekly shop.
You don't seem to have a category for the following, where do they come in?
- Household goods and toiletries (going to eat hugely into your £80)
- Travel/transport - do you have a car or use public transport, and where are the costs for this coming?
- Mobile phone - pay as you go, or is this on contract and counted in bills?
- School expenses - random things, christmas fair, non uniform day, extra lessons, trips, etc - where does this come from?
Argh I typed this and forgot to hit send and went away, so hopefully I'm not massively behind! Will post and see :)