My mother left me her house when she dies....if she has to go and stay in a nursing home can they take her house from me

No. The state cannot take the home if your mother marks on her nursing home application that she has an intent to return home. Additionally, your mother could execute an Enhanced Life Estate Deed to protect her home from a Medicaid lien. An attorney who practices in the field of estate planning or elder law could assist you with determining whether or not an Enhanced Life Estate Deed is necessary.