I cross posted above when you updated. I get about one pot of money expected to cover too many things, but be warned, PIP and AA work that way also.
You get it, so expected to pay for many once NHS supplied medical items out of it, as well as getting to and from appointments, going to work, additional costs to run essential machines etc, servicing and insuring. PL for carers in your home, and every single extra expense incurred by disability, many times over with the same amount. It's all a nod to additional disability costs, that nowadays has to cover more than it can, as do all savings.
I'm afraid the possibility of all the work she's done to get where she is, going compromised from being in one room, is unlikely to bother the powers that be.
Your Mum's entitled to six weeks free 're-enablement' carers visits, regardless of her income, in that room. After that she has to pay. (watch out on week 7- often nothings said but the bill gets presented months later) Those shouldn't start in any home other than her own, so if she goes somewhere else, apply for them when she's going home. Those swift wash/eat visits are the supposed band aid against 'going downhill.' If she's lucky she may get home OT visits. (IME often promised but rarely materialize.)
Someone mentioned a banana board - definitely obtain one. It will be useful later as well. Disability as age sets in needs thinking about, beyond adaptations.
Re now: there are 'step down' hospitals for people inadvertently bed blocking. They are free. But go see yours before opting for it, or her simply being taken to it if she keeps refusing to leave. (have seen people wheeled off in their beds 'for tests' who were actually being transferred to Step Down.) They vary massively.
I'm told some are fine, just full of mainly elderly folk whose medical needs are now reduced, but need some care before they can get home, or a home be found. Have OT's etc on site, and caring and very keen to help and mobilize folk.
However mine reflects city life, so lots of elderly, interspersed with drug/ alcohol users who have been previously hospitalized for physical issues (including recent amputations) and are mainly headed back to the streets. They have OT's etc, but a lot of their services center around controlling addiction etc.
It can be a scary place, but people bed blocking intentionally or otherwise, are seen as 'beggars' and beggars can't be choosers, and all that.
Getting a carer when family work: - someone with long term MH or personal difficulties can fulfill the role if the person needing help knows what they want and how it should be done, and can manage the carers needs. Very daunting for someone at the beginning of dealing with it all, but a possibility if family is around as well?
My current carer's a lovely young woman, sanctioned by UC for being unable to cope. Struggles with daily living and her emotions, and needs considerable support to do any job, but she's a darn sight better and more caring than the endless stream of poor overworked dash in and out carers alternative. She needs specific times to be in therapy, support groups etc, we work round each others needs. She's getting practical carer training out of it alongside a free theory course. I top up her miserable CA with my PIP, and between us we get my needs met, and she feels a lot better through working even though it's a rip off. I throw in all I can to sweeten the deal.
I'll be honest and say 'managing' her is sometimes wearing, but I am for her too.
I advertised making it clear the offer was CA with the right to earn only a ltd amount on top. Listening to why people applied, sorted out the wheat from the chaff swiftly. You take your chances, but you do with standard carers too.
Person before her, was a recent older immigrant, very lovely, very low English, almost no paid work history, recently divorced and looking to start again and build references. We agreed a set period and both benefited.
One before that was a self funding part time student, with ASD, and MH difficulties, but very self contained and great when directed.
Having a flexible attitude about peoples difficulties (within reason) can work out for all. Even topped up it's a crap wage, so you need to look for good people who have their own needs, that it suits. They exist.