I think it's far more important to be comfortable with what you are doing than to be 'right'
That said, I agree with the mighty Weeeeeksy, that you could do with being lower on the bike, in racer mode as it were.
The other really good bits of advice I have had are to relax, and to breathe. Sounds obvious doesn't it, but you'd be surprised!
I actually tell myself as I'm cornering to breathe, and when my forearms start to tighten up I literally let go of the handlebars!
With time it will feel more natural, I can't corner to save my life without hanging off now!
Oh yeah, you weren't going slow either!
