I'm sorry to read your post about your mother's condition. And I'm sorry that you must face this situation. I hope that you get as much support and information from this group as I have.
I too am an ESLD patient, only 30 years younger so I will qualify for a transplant. Not that I will definitely get one. My transplant team tells me that a thousand people die each year waiting for livers.
I agree that the more you can do at home / hospice, the better. But you need an airtight plan so that no one gets burned out as a caregiver.
I am assuming that since your mom is rebounding from the sepsis that she is basically strong. I've had sepsis twice from my ascites and it's a bear. That she is rebounding means that you can still have some quality time left. Pardon my unsolicited advice but if I were you, I would focus on a few things: carefully watch the ascites to ensure that not too much fluid builds up. In addition to sepsis, it can impact internal organs by causing internal congestion (tape measure for belly size and scale for weight); have the doctor tailor a dosage of either Lactulose or Xifaxan (expensive alternative) to keep ammonia levels down, helping keep her lucid and more like the mom you know; and adjust her diet to minimize sodium and iron (with doctor's direction). The lower sodium helps reduce fluid retention and the lower iron eases the load on the liver. If she is a red meat eater, this may be difficult.
In any event, if your doctor is not a specialist experienced in liver disease, get a referral to one who is. Don't give up on your mom and use the time well. I'm sorry that it will be difficult, and disruptive, and exhausting, and frustrating, and tearful, and painful. But it will end too soon -- and the memories will last.
I and the others on the forum will keep you and your mom in our thoughts.
Be well, John
I have to get up the creek! Now where's that paddle?