I know how you feel, it is terrifying and heartbreaking when you go through the diagnosis. My dad was diagnosed in December, and had surgery at St James hospital in Leeds. Prof Lodge is head of the team there; I believe he does the Liver transplants. He has saved many, many lives. We could not fault the treatment at the hospital, it was wonderful.
It is important to find out a bit more about the diagnosis, and what treatment the specialist thinks is possible? My dad's initial treatment at Bradford Royal Infirmary was very good, and they didn't hesitate to refer him to Leeds when they thought surgery was possible.
We have been told that going private would not have speeded things up (although the diagnosis may have been marginally sooner) and the treatment would be exactly the same. My uncle who's a GP says that the cost of going private would be prohibitive for most people, as you then have to pay for ALL your treatment, drugs etc. They also said that going private would not help because there just aren't the private oncology facilities.
Let us know how you get on, stay strong. I always found it eased thing to keep reading and researching, but I suppose we all find our ways of dealing with it. Thinking of you.