Caroline Banana, of Bentilee, further admitted making a false representation on an Income Support application form by not declaring she was owed her TV gameshow winnings, in April 2011.
She also pleaded guilty to wrongly claiming free school meals for three children.
She now has 12 months to settle her over-payments in full.
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13-year-old Yorkshire Terrier was severely matted and covered in dreadlocks after years of neglect and died just weeks after being re-homed.