Another thought is, if your daughter hasn't ridden much, you might want to pony her off your horse (lead) so that her horse can't take off.
Riding next to a pasture with horses running, playing is difficult. We were next to a pasture once with a bunch of horses crowding the fence as we went by. Suddenly one of them let out a very loud fart and it scared all of them!! Once we got our horses under control, we were laughing, it even scared the horse that did it! You never know.......