Bonbon and Remy progress

It's been a busy weekend so not had chance to do much with the horses.
This morning the weather was lovely and ideal for a session in the school with Remy. He was very calm and responsive, he was staying soft and relaxed and gave me some really nice work. Shoulder-in and counter shoulder-in on both reins, some nice reinback and some of the nicest, balanced trot work to date. A long way to go, but definite improvement.
My last two sessions with Bonbon have been a bit wayward. Groundwork and close lunge work ok in walk and then squealing and overreacting when asked to trot.
Today, we continued with this and although reasonably calm in the walk work, we got the same reaction into the trot transition. Not as extreme, a bit of an explosion and a squeal, then stopping to face me.
It's definitely a worry thing, and in the walk work, I've always walked with her, staying reasonably close and she's pretty ok and relaxed with this. When I ask for the trot transition, I am, in effect sending her away from me and I think it's this that's confusing her, so I started to trot slowly at her side as I asked her to trot, and after a few seconds she started a hesitant little trot with me, and it seemed like you could see a little light bulb go on in her head. I asked once more and she gave me another little trot, so we happily left it there for the day. Hopefully it's a start and we'll progress from there in our next session.