That syndrome is when a psychopath makes someone sick in order to feel validated, important. I think you have the wrong disease.
No, I think you have to extend your imagination a bit. Clearly, her mother pushed Liz to the point of illness in order to get the validation that she - the mother - clearly did not have in her own life.
Don’t be so literal. I said “psychic” Munchausen’s Syndrome By Proxy, which it very obviously is.