The female driver had pulled up at the council-run car park in Sutton, South London, earlier this year before going to do her shopping.
But when she returned to the car park she found that her car had "moved" to a bay opposite and was perfectly parked inside the white lines.
She called the council to tell them of the ghostly goings-on and asked whether the car park was haunted.
When parking bosses at Sutton Council reviewed CCTV footage to find out how the car moved they watched as the woman's car slowly wheeled from one bay to the next after she forgot to apply the handbrake.
Other bizarre calls to the council's environmental contact centre included one punter who asked if he could put a dead fox in his recycling bin and a woman who asked how long she could store ginger powder for.
One caller also asked if he could fill a bath with custard and another if he could park a double decker bus in his front garden.
A source at the council revealed: "You do get some cranks phoning up, as all big organisations do.
"But the lady was so convinced that her car had moved we decided to review the CCTV and found out she had simply left the handbrake off - but at least the mystery was solved."
Councillor Simon Wales said: "Our call centre was last year voted the best in London and we can tackle most queries but I must admit there are some that do raise eyebrows."