My home still has mortgage and I can't give it to my daughter. Can I assign it to her?

You should see an estate attorney who knows Medicaid rules, as likely that is what you have in mind. If you are "assigning" it to her, your mortgage company will have to be involved, too, I would think. I'd advise seeing an attorney first, and if he or she thinks it's possible, check with your lender. Good luck,
Carol