Tess Pierce said her family was "absolutely devastated" at the death of 17-year-old Bethany Freeman.
The talented sportswoman, nicknamed Gia, was crushed when a 30ft (9m) tree fell down amid high winds in Lydens Lane in Hever, near Edenbridge, Kent. It came as thousands of home owners were told to face another night without power, as engineers were drafted in to help reconnect the worst affected areas.
In a statement issued through Kent Police, Ms Pierce said: "We are all absolutely devastated at the loss of my daughter. I would like to thank the emergency services for their tremendous efforts in attempting to save her."
Bethany was a "universally respected" sixth-form pupil at Tunbridge Wells Grammar School who "had everything to look forward to", the school's website said.
There were tragic scenes as her driving instructor arrived at her home to pick her up without knowing she had died.
She was among four people killed as hurricane-force winds battered England and Wales, leaving a trail of destruction.
"Loving husband" and father-of-three Donal Drohan, 51, originally from Waterford in Ireland, died when his car was hit by a tree near the bridge over the River Colne in Watford, Hertfordshire. Mr Drohan, from Harrow, west London, was killed when his car was struck by a falling tree.