She is a long-standing member of the London garage rock scene - for a long time she was in the Headcoatees, the female counterpoint to Billy Childish's group the Headcoats. Now she does more croony/ballady things, but in a pre-Beatles, early-60s style, from what I know.
If you want similar stuff, go to some of the French pop of the 60s. Female - France Gall, male - Jacques Dutronc.