The New York Post reported Filiti, 48, had been living in Santa Monica, Calif., with Jackie, 90, but was taken to the hospital two weeks ago when her condition worsened.
It is the latest sad news for the family.
Sage, the son of film star Sylvester, was found dead in his Los Angeles home July 13. The cause of his death has not been determined.
"After losing my grandson, this has been too much to bear. Toni Ann is not doing well at all. She has lung cancer Stage 4. She has liver cancer, it has spread to her brain," Jackie told the Post.
"I am doing terrible after having my grandson go, then my daughter [critical] at 48 years old. It isn't easy. I don't know what to do. She has been in UCLA for two weeks. She's on IVs to stay alive. She is on all kinds of IVs to eat. The doctors don't think she will improve. What can you do? They have done everything; she even entered an experiment. I would like to bring her home ... ," Jackie said.
"She is conscious and responsive sometimes, but not really. What we need is a miracle. I still believe there are miracles, it is the only thing that keeps you going. I always think some miracle will happen, and she will wake up and this is all a bad dream. I want her with us until the last hour. She looks beautiful lying there. But her condition is critical."
WATCH: Romney realizes he's going to lose the election in Netflix's trailer
'Duck Dynasty's Phil Robertson on indefinite hiatus after anti-gay remarks