Update 10 December 2013 – the individual in the released CCTV has now been identified and investigations are ongoing.
The incident occurred at around 1.30pm on Monday 28 October 2013, at the Home Bargains store, in the Market Place.
It is believed the woman entered the shop and placed cosmetics in her trolley, before leaving the premises without paying for them.
The woman is described as being white, with a large build and long brown hair.
PC Leah Champion, of Ripon Safer Neighbourhood Team, said:
If you are the woman caught on CCTV and you are not responsible for this theft, please contact me as soon as possible, so that I can eliminate you from my enquiries.
I am also keen to speak to anyone who can identify the suspect and ask them to get in touch.
Anyone who can assist with this enquiry should contact Ripon police on 101, select option 2 and ask for Leah Champion. Alternatively, information can be emailed to firstname.lastname@example.org
Or call Crimestoppers anonymously on 0800 555111, quoting reference number 12130187371.