Trampas uses a lasso to rope and make a "halter/reins for Liliota 's horse in the corral. Liliota takes the horse from him and jumps him over the corral and tries to escape. When she is caught at the entrance to Shiloh, the horse has a standard bridle and bit in place of the lasso.
When Liliota tries to flee from Shiloh on her horse it's an obvious stunt person in a black wig who jumps onto the horse.