Thanks CessBee. I plan on keeping Lady for a long time - so I want to take my time and train her right.
I have ridden her the last couple of days - yesterday I did a fair bit of work in the canter, and she was great! Previously whenever I would canter she would be flat, strung out, rushed and dropping her shoulder in. Yesterday she popped into the canter, and was light and felt balanced! Still had the odd moment of trying to drop her shoulder in, but she was easier to correct, and when I asked for a trot, she came back calmly!
I think I am winning here! I can't wait to get some more photos/videos - maybe this weekend if the weather is nice!