Am I able to use a quitclaim deed to a cousin and is there anyway of preventing my name from being placed on this property again?

I live in Michigan. My name was placed on my G-mother's property when I was a minor (about 15yrs old), after her husband died. I have since married and have changed my last name. I have asked her to remove my name but she hasn't. The taxes are now delinquent and I don't want my name on this property any longer, there are 2 properties the house she lives in and a lot right next door. I understand I am responsible for the taxes. A cousin is also on the owner/tax payer information. Would I be able to do a quitclaim deed to the cousin and is there any way of preventing my name from being placed on this property again? The G-mother's name is not on this property at all for ownership or tax payer information. I just don't want to be held responsible for years of unpaid taxes or anything else to do with this property.