Austrian police said Jemima had skied off piste on Sunday and was taken by helicopter to hospital in Innsbruck.
An Austrian police spokesman said Jemima Prees skied off piste on Sunday while on holiday with her parents and brother.
She died after skiing off piste and crashing into a tree during a winter holiday in the Tyrol region of Austria.
"We have seen some reports that Emily was off piste and on her own - that is not true and she would never do that, " she said.
"They were off-piste when it happened, and it looks as though they probably sparked the avalanche off, " said a spokesman for the rescue operation.
Glencoe Mountain Resort said an experienced off-piste skier had been caught in the major avalanche.
Emergency services were alerted to the incident at an "off-piste" skiing area in the Etive Glades on Saturday.
The emergency services were alerted to the incident in an "off-piste" skiing area in the Etive Glades at 13:05 GMT.
Last month, Daniel Maddox, 41, from Clackmannanshire, died in an avalanche while off-piste skiing near the Glencoe Mountain snow sports centre.
BBC: Daily avalanche reports for Scottish mountains wound up
Glencoe Mountain Resort said an experienced off-piste skier, skiing out with the ski area, had been caught in a major avalanche.
The TRF said it was a respectable group being tarred with the same brush as off-piste "hoodlums" over its desire to use unsurfaced Peak District lanes.
This stretch of the Aravis mountain chain (which runs between Savoie and Haute-Savoie) has five interconnected ski areas with some good off-piste sections, as well as excellent groomed runs.
For them, the formal ski area effectively serves as a jumping-off point, a gateway to vast tracts of challenging off-piste terrain studded with cliff drops, creamy powder stashes, edge-of-your-seat steeps and wide, rolling slopes.
WSJ: New Heights: Winter Sports Holidays With a Difference | Carving Fresh Ski Tracks
Vonn's shocking crash in the super-G at the world championships -- she was airlifted off the piste after sustaining a serious knee injury -- tempered Maze's subsequent triumph, and the Slovenian's look of horror and concern for her rival was only too evident.
The lads let me off at a piste that descended at about 25 degrees for 50 yards or so, followed by a critical, God-help-you-if-you-miss-it right-hander bounded by sturdy hardwoods.
He worked as a resort rep for Crystal Ski and was skiing on piste with colleagues on a day off when he hit the snow-making apparatus.
BBC: British skier killed in Val d'Is��re named as Thomas Lynch
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