You need to be very careful over this - sadly, as your mother has Alzheimer's, in any financial assessment regarding her care fees, it will be considered that there is a distinct possibilty that she will require full time care at some point, and 'gifting' her property over to you now will most probably be considered a deliberate deprivation of assets (in other words, deliberately trying to avoid having to self-fund any fees) - this could mean her LA assessing her as though she did own the house and so refusing to take on any part payment of her fees, leaving her and you to fund her care
there is also a potential issue over whether your mother would be deemed to have capacity to make such a decision
also, an Attorney, assuming you have in place LPA for finance and property, may not benefit from being an Attorney