Can I decline a part of the house gift via Quit Claim did?

my father filled a quit claim on the house that belonged to my mother and him (i was not on original title) to two grantees, my mother and me, a year ago. he has suddenly passed away. my mother and i live in different states and my mother now wants to sell her house, move to us and buy a condo. i would like to remove my name via quit claim deed in order for her to get enough money to buy something. otherwise i am afraid we have to pay gift taxes from my portion. mortgage is paid off. what type of transfer should i do now?
thanks,