Little update. I managed to strip it all down, ordered a few new parts - new float as the old one had liquid inside it, new main jet/atomiser (old 'uns still stuck together

) and a new filter cover/screw. Cleaned it up with carb cleaner and a toothbrush, made as sure as possible all jets were clear, etc. Put it back on just as it was as it came off (fuel pipe angle, etc) and now she starts first kick but quickly dies when you give it some healthy throttle. I've managed to ride down the drive and as I try to change into 2nd...death. I've checked the pilot jet screw adjuster and tried turning it 1/4 turn at a time but to no avail.
The reason I decided to clean the carb in the first place was the scoot was difficult to start once I'd ridden a few miles, and she was also struggling at lights, occasionally stalling. I also noticed on my last ride I had difficulty changing into first gear as it went very stiff.
I think I may have reached the point of getting it looked at by someone who knows what they're doing.