Will Medicaid take my Mom's house to pay for permanent nursing home?

I've been living with and caring for my 86 year old mom for the past 5 years in my mom's home. She cannot live alone because of dementia. She is going to have to go to a nursing home soon because her dementia is getting worse and she is getting very hard to handle: hallucinations, outbursts of anger and rage, and violent dreams. My mom owns her home and has no spouse and the house is in her name only. She does not have cash funds to pay for a nursing home except for her Social Security income. Her only asset is her house. Will Medicaid take her house to pay for the nursing home? Is there anyway I can legally keep the house once she goes to a nursing home?