Investigators released a photo of the woman they're looking for on Tuesday.
Police say she is responsible for at least two transactions totaling more than $5,400.
The woman allegedly used a fake Pennsylvania driver's license and fake Social Security number to gain access to accounts.
The banks targets were the TD Bank on the White Horse Pike in Berlin, N.J. and the Sovereign Bank in Devon, Pa.
Anyone with information is asked to contact Detective Bob Monahan at Berlin Boro Police Department at 856-767-4700 extension 172.