The expert who measured her feet said she needs a skate 2.5 sizes bigger than the one she'd been wearing! OUCH. No wonder her feet were burning. The store did not have skates in the right size, and we were able to rent skates for the interim.
We bought skating tights, too. Now we need a real skating skirt!
These skates (my princess is wearing them in the picture below) are rentals, and they are a half-size bigger than recommended.
She worked on crossovers
and I caught some of them on video: