Ms Ellis was described as being in poor health and was last seen on Randall Street at 5am.
She is described as being 170cm tall, with a slim build and a pale complexion and has suffered hair loss as a result of medical treatment.
Esperance police have serious concerns for her welfare.
Mrs Ellis is believed to be wearing a white, cotton dressing gown
and driving a silver 2011 model Hyundai Accent, with an old West Coast Eagles registration plate 410.
Anyone who might see Mrs Ellis or her vehicle is urged to call the Police Assistance Centre on 131 444 or Crime Stoppers on 180 333 000.
Full details to come.