She was captured by CCTV cameras going into the Westborough branch of the Halifax bank in Scarborough around 4.15pm on Friday June 23 2017.
An attempt was made to add a name to a bank account, using suspected fraudulent identification.
If successful, access would have been gained to several thousands of pounds.
Despite extensive enquiries, police have been unable to identify the woman and are now appealing for to the public for help.
Anyone who recognises the woman is asked to contact North Yorkshire Police on 101, select option 2 and ask to speak to Claire Wilson.
You can also email [email protected] – please quote reference 12170110008.