Baymule
Herd Master
If they are lesson horses, then you know they are well trained.
Why not ask?One big concern, though, is what we'd have to pay for such well trained animals.
When you get into horses you will realize that the purchase price may be the least of your expenses. Whether you pay a little or pay a lot. It's the only one time cost involved.
You'll want to have a vet check of course. If the vet happens to be familiar with these particular horses I would ask for their opinion of their behavior and health history. Same with the farrier.
Congratulations on finding an excellent trainer. I agree with Promises' comment on the trainer coming to you. I don't remember how many kids you have taking lessons, but if you are doing three or four lessons I think many trainers would consider it.
Sounds like you have some exciting decisions to make!
Why not ask?