The trio were trapped six metres off the ground for more than an hour on the 27m tall looping fairground ride.
The car had to be taken to pieces before the group could be released and lifted into a cherry-picker to be carried back down to solid ground.
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Hundreds of show-goers gathered to watch the daring rescue.
A spokeswoman for the Ambulance Service said the woman and two boys were released, and allowed to go on their way after they were checked over.
