UPDATE: Preston woman who died while fell walking in Lake District is named
HM Coroner's Service for Cumbria confirmed her death had been referred to them, but said a decision on whether an inquest was required had not yet been made.
Twelve members of Ambleside Mountain Rescue were called to Jack's Rake on Pavey Ark in Langdale, after Ms Green was seen falling just after 11am on Sunday.
They spent six hours at the scene, assisted by Great North Air Ambulance.
A spokesman for the Mountain Rescue Team said: "Unfortunately it was determined that she'd died of the injuries sustained in the fall. We were assisted in evacuating her body by Kendal Mountain Rescue Team".
Cumbria Constabulary said the death was not suspicious.
Jack's Rake is a steep path across Pavey Ark which is classed in guidebooks as a "grade-one scramble", meaning hands and feet are used.
Guidebook author Alfred Wainwright described the route as "just about the limit that the ordinary common or garden fell walker reasonably may be expected to attempt".