The girl was treated by a doctor from the Pride of Cumbria Air Ambulance and then flown down the fell to a waiting ambulance.
Her condition is said to be stable.
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Members of Unite are campaigning to have a full-time union convenor at the site.
A look ahead at the forecast for the Border region.
The company operating the Borders Railway are warning there will be disruption to services when the Queen attends the official opening.