Hi tiger
I'm a 29 year old woman, held a car licence (clean) for 10 years.
I got third party only for �60 last January (Bennetts) for a 50cc scooter, my first bike never ridden before. I went through comparison websites for my renewal as they were asking for �400 fully comp (or �79 3rd party). Ironically Bennetts came up on a comparison site for about �130, so I phoned them with this info and got that figure - so it is worth doing, even though you might have to avoid your phone for a day or two! The excess was only �150 as well (some quotes as low as �100 were with �500 excesses!).
I upgraded to an RV125 Suzuki Van Van just recently, the insurance cost remained the same which I was surprised at. If you don't have your CBT you will get ridiculous quotes, I delayed buying my own bike til I'd got my certificate and could get an honest quote. And of course the sooner you pass your test, the less you will pay - I'm aiming for Autumn, so I'm looking forward to rock bottom insurance quotes!