I'm sorry. This must be extremely difficult.
I've had one alcoholic in my family who has lived for several years with end-stage liver disease from cirrhosis. He has not received a liver transplant and he is not eligible for one. He quit drinking and switched over to taking valium, oxycontin, and heroin as his drugs of choice.
He was not as far along as your mother sounds, though. They score this disease, and I doubt that his score was as high as your mother's. The higher the score, the higher the mortality rate.