The teenager, from Gillingham in Kent, was found sleeping in a car in the north of Scotland.
She ran away with 46-year-old David Milner on Thursday.
The police had been appealing for help in finding them.
Overjoyed
They had stayed in Blackpool for two nights but officers finally caught up with them when a member of the public recognised their car after seeing it on TV.
Stacey's mum was overjoyed when she heard that her daughter had been found.
Nightmare
"That was one relieving phone call, after the last four or five days which have been an absolute nightmare," she said.
More than 3,000 people had called the police in a bid to help the inquiry and officers thanked them for their support.
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