If the NHS is funding her care that means that they have agreed she meets the criteria for Continuing Care Funding and that applies WHETHER SHE IS AT HOME OR IN A NURSING/RESIDENTIAL HOME. Sorry for the shouty capitals, but this is very important indeed - so often people are given misinformation.
It is possible to bring in care at home; but it really is not easy at all. I have recently been through all this with my OH, who died in February.
First of all you need to have all the right equipment in place so need to contact your local Occupational Therapy Team, and also the District Nursing Team. They can order the things you need; we had: hospital bed with sides and an electric air-flow mattress; waterproof sheets, Kylies (slip sheets that draw moisture away); standing aid; walking aid; commode; rails in shower; slide sheets; catheter equipment; electric air-flow cushion; riser chair - and much more. Do not please have her home without all this in place. Her care will suffer and you will likely do your back in.
Carers - you will probably, as someone above has pointed out, need two people for dealing with transfers (bed to commode; chair to toilet; etc.). This was where my OH's care came unstuck, as the funding has a ceiling and getting in extra care for transfers was prohibitively expensive. There are agencies offering live-in care and the cost starts at about £800 per week and then the sky's the limit. We found that carers just during the day (a long day) was more expensive than live-in in the end. But........getting the right carer is hell - do not believe the agency's bland advertising bumf about matching carer to patient. IN the end we just had to take whoever was available and willing to to do it. The carers stay for a few weeks and then go on a break; and every time this happens you have to go through the same tedious process of trying to find one of the agency's carers who might be willing to plug the break.
Some of the carers were hopeless: sometimes due to personality (mopey miserable; volatile and garrulous - we had them all). And most do not have English as a first language. Also they often had some strange dietary requirements. They are entitled to 2 - 3 hours time off per day - which they needed - but you could bet your life that my OH would need the commode, or wet everywhere as soon as they walked out of the door.
It is a minefield and only to be undertaken with eyes fully open. I have lived this for nearly a year and it was so very very difficult.
Please do feel to pm me if I can offer any advice, which I would be happy to do.
I am so sorry you are in this difficult situation.
In the end we decided that a nursing home was the only answer, so that he could have peace: efficient care, all the right equipment in place etc. Freedom from lurching from one crisis to another. We were lucky that a new and absolutely state-of-the-art new nursing home had just opened nearby. What we would have done without it I do not know - I looked at some hell-holes where under no circumstances would I have allowed him to go.