Should I follow my heart, or my mother's wishes?

My mother has been deemed incapacitated, after her dx of dementia stroke related, and numerous hospitalizations including, behavioral psyche admits for suicidal attempts and threats. In her mind I am the enemy and she thinks that I have locked her away and she only talks to me to accuse, curse and tell me how much she hates me. When this all began she asked me to move in with her and help her (prior to the last damaging stroke), she also named me medical and general POA. I am still residing in her home and paying the bills now with my earnings she says she no longer wants me in her home. Unfortunately her ex-sister in law is half owner of the home and believes anything my mother tells her, therefore she is now pushing the sale of the home. I have put in a bid to buy out the other half and still my mother states if she cannot live here she does not want me to have it, which is conflicting because in her will she has left all of her estate to me anyway. This is all become more than overwhelming and very mentally hurtful. I know my mother does not mean what she says but she is not helping mattters at all. I still take care of all of her business ie; house, property, medical bills and personal needs and will continue. She asks all the time how her bills are being paid. I inform her I take care of everything and she has nothing to worry about except getting better. I love my mom very much, I have given up the last year almost making sure everything is in order for her and her care. Should I leave the house and let it be sold? If that happens my mother will become self pay and every last dime that she worked for will go to her care until its gone. If I stay and purchase the half owned by the outsider, the house could stay in our family for a lot of the grandchildren, and their childrens lifetime. My heart is getting in the way of making a good financial decision not only for me but my mother and my family. I feel like my mother blames me for her disease, because I could no longer care for her by myself and unfortunately my mother decided to live lavishly the last four years dipping into her 401K by adding $1,100 to her monthly check and now its gone and it could have been used for in home care now. Should I be punished for her bad financial decisions as well? What to do, I believe I or we need a blessed intervention. signed a very sad daughter Li