Will Medicaid (California) claim my house after mom's demise?

My 101year old mom has been living with me since 1979. She and I put equal amounts down payment to buy a house in 1976 for which she did not make a single mortgage payment. Her only investment in the house was the $6,000 initial down payment. I put her name on title to make her feel like a homeowner as this was important to her. In 1995 she transferred the house to me. She has had medicaid since 1980's as she left her home country with no resources and never worked in this country. I have helped her financially all along. My question is: after her demise, will medicaid (California) try to get reimbursed for hospital, in home support care, etc. by claiming the house which is in my name? She has never been in a nursing home and I don't plan on sending her there. It seems so unfair for me to lose my house after helping my mother all these years. It has really affected my life in a negative way but I have never shirked my responsibility to take care of her. I don't however want to be punished for having done that.