The lift is understood to have started moving upwards before the stretcher was fully in following a suspected mechanical failure with the automatic lift door.
Local reports said the patient had literally been divided into two in the horrific accident, at around 2.30pm today.
Police and firefighters rushed to the scene along with duty medics but could nothing to save her life.
Local reports said firefighters took two hours to reach her mauled body after her head was trapped between the lift frame and roof as it started moving upwards and her feet left dangling in the lift shaft.
The victim's brother-in-law David Gaspar, described his brother, the victim's husband, as "devastated".
He told Europa Press: "It's incredible. We still don't believe them."
He added: "Something has to be done. This cannot go unpunished."
An investigation, coordinated by an investigating magistrate, is now underway.
Virgen de Valme Hospital is a public hospital and the place where Andalucia's regional president Susana Diaz gave birth to her baby boy in July 2015.