Benefit claimants must inform the Department of Work and Pensions if their bank balance exceeds £16,000, either due to a windfall or inheritance.
However Banana, who appeared on the Channel 4 show hosted by Noel Edmonds in November 2011, did not disclose her winnings.
She admitted failing to disclose her windfall separately to both the DWP and Stoke City Council with the intention of making a gain between March 28, 2011 and May 13, 2012.
The council said in all she had been overpaid about £7,200 in housing benefit, council tax and income support.
She also admitted failing to declare to the DWP and the council her employment at a chemists, medical surgery and Longton Cottage Hospital.
More top news
Cloud will thicken with some, mainly light, patchy rain possible through this afternoon and into tonight, with some clear spells.
This morning's sunny spells will gradually give way to cloudier, breezier conditions this afternoon, with patchy rain possible later.
Former Aston Villa legend Stiliyan Petrov, who battled leukaemia last year, has kitted out every player in his new Sunday soccer side.