If I arrange care through social services for mum, there is a potential for the house to seized to pay for the care.
The care packages are via direct payment that SS pay for after an assessment of need.. No home involved in them. I know this cos my dad had them for my mother for a very long time when my mum was ill. He still has the house now she has died and there is no care fees being taken out the equity once he dies either. The only chance of losing the house would be if your mum goes into a nursing home. It may ( not necessarily) have to be sold and fees paid out of it. However that does not mean it might not be the best option if you cannot care for her all the time and are unwilling to get anyone to take up the slack. I think finding your own place to live and making sure you are not dependent on your mum is worth looking into. The situation is not good for either of you as it is.