Hello Jrzegirl and welcome to HealingWell.
Talk with your father, he may need to be very assertive with her doctors. If he is not the type or he can't for any reason, maybe it's time to talk with them both for you to be her medical advocate. To get power of attorney for her medical needs.
Why won't they write a script for a hospice eval. Is it because he feels she has more than a year left? I would demand answers........Demand a referral to a Hepatologist. You need an explaination about your mom's condition and what they feel her prognosis is.......GI docs are not as knowledgeable about liver disease as Hepatologists.
With her being bedridden and not being able to keep down much........doesn't sound too good to me.
Throwing up comes with this disease if she is taking Lactulose. It's a nasty med that all patients dread taking but is medically necessary once her ammonia levels start rising. My husband didn't starting throwing up until he start taking it. I don't remember him ever having an issue with choking.
Hang in there........we are here for you. Thoughts and prayers....