Hi, Amberlight. It's been a little over two years since you posted here. I'm sorry to hear of your mother's decline. She is probably sick and tired of being sick and tired, and given her age she is probably just giving up. There's likely little that can be done, anyway. If she wants to sleep or stay in bed, that's her right.
We can't tell you how long she has left. She may make it to a NH or she may not. If she does, I recommend that Hospice be called in. I can tell you is that it is very important for you to take care of yourself. I don't know how often you are going to see her in the hospital, but you might want to shorten the number of times you see her in a week or shorten your visits. You can call the nursing station to inquire about her when you don't see her. I know that her illness has been going on for a long time and you are no doubt exhausted.
Amber, the Tylenol #3 is probably also contributing to her sleepiness. She'd be better off on Percocet. Hope you get a chance to speak with her doctor.