But there's a discrepancy with your story. She can't give you anything in her will until she is dead. And you say you are 'on the paperwork' for the house. She could have put you on the deed, giving you an ownership interest in the house, at the time she did it, and full ownership could pass to you when she dies if the wording on the deed says so. We don't know what the deed says about you, if it says anything at all. And if she DID do that, then there is NO reason for the house to be mentioned in the will.
Let's say you are not on the deed but you are in the will. If she has no other money to pay for her nursing care, then Medicaid will pay what her Medicare does not. And Medicaid will place a lien against the house to get that money back from her, or her estate if she dies. It's possible there will be no money left, the house will be sold to pay the lien, and there will be nothing for you. You will have paid those taxes for nothing.
Now, let's say you ARE on the deed, and the deed is written that you and she are joint tenants with right of survivorship. Upon her death, the house would automatically be yours - it bypasses her estate completely. However, there may still be the matter of a Medicaid lien. It would depend on the laws of your state if Medicaid could collect only half of the value of the property, her half, and could not touch your half, or if the entire value can be taken to pay the Medicaid lien.
If your family is telling you things instead of actually showing you documents, then you need to get yourself your own lawyer to look into this for you.
You could start by asking a friend to go with you to the clerk's office for the county where this house is. Tell the clerk you want to see the latest recorded deed for the property and you don't know how to look it up. Someone there can help you. That deed, which you can make a copy of (there may be a small fee), will tell you exactly who owns the property.