British Transport Police said the incident happened at Glasgow Central station on Friday 20 October at 16:25.
The two dogs were described as a tan coloured Staffordshire or pitbull terrier and a German shepherd.
The woman had long brown hair, glasses, and was wearing a grey hooded top with the number 88 on the front.
Police said she may have boarded the 17:30 train to London Euston.
Police have released a CCTV image of a woman who they want to speak to in connection with a guide dog that was attacked by two other dogs.