A house in Thame was targeted by burglars who got in through an insecure rear kitchen door, say police.
The culprits got away with a debit card stolen from a handbag in the house and a turquoise cardigan.
The cardigan was found the next day in an alley close to the Wentworth Road home.
The incident took place between July 25 and 28.
If you have any information call the police on the new national single non-emergency telephone number 101 and state you are responding to a community message.
If you wish to remain anonymous, call Crimestoppers on 0800 555 111 or online at crimestoppers-uk.org