Totally agree with coachinkal. COME BACK TO THE BAR! This is step number one and so essential but I see a lot of people miss this, perhaps because with more control and strength a late "drop" in builds momentum. I'm not disagreeing. i would never do a back circle the way I teach it. BUT for little kids first learning, they MUST come back to the bar after casting as they drop their shoulders back. i.e. they need to cast, come back to touch hips, then swing around. I'm not staying come back and halt completely, but come back as they are going backwards. I used to always be "head in! toes that way! shoulders back harder!" but I learned this method from a very experienced instructor and realized how effective it is.
I tell them come back, knees to your nose, shoulders follow. But I would ask her coaches about it and maybe schedule a private if it would stop her moving up, otherwise practice would help it. I wouldn't encourage you to work on it on playground metal bars or anything because they are different bars anyway and she could pick up even more bad habits.