My mom's name was on our house deed. (we have a granny house behind our house) She removed her name in 2014. So the deed is now in my husband's and my name only. However, I just became her POA and her will states she is leaving her home to us. This will was done in 2007, so before the deed was transferred to us only. Will the deed trump the will or do we need to have her will re-written?
Since your Mom removed her name in 2014, the house should be ok if your Mom doesn't need Medicaid for the next couple of years [if the look back is 5 years]. Medicaid won't be looking at her Will.
I would check with an Elder Law Attorney to make sure everything is in order. Elder Law Attorney are experts when it comes to the maze called Medicaid.
As Pl said, if she does not own the house (name on deed) she cannot leave it to someone.
When I 'got the house' in my divorce, it was time for me to rewrite my will, one to write my ex out of it, but also to add the full ownership of my house to it. Prior to the divorce we had joint tenancy and if either of us died, the other got the house fully and it avoided probate.
If there are other beneficiaries, it is best that Mum's will be clear as to what she does own and what she can leave to whom in her will.
The Attorney may, or may not, recommend that the Will [which is over 10 years old] needs to be updated to reflect current State laws. If your Mom's Power of Attorney wasn't written by an Attorney, the Attorney may recommend one that is more informative be written. Example my own POA is 17 pages long and it covers everything.