Did horse in movie Pale Rider belong to Clint Eastwood?

In the movie "Pale Rider," Clint Eastwood's character, Preacher, rides a horse named "Champ." While it's unclear if the horse belonged to Eastwood personally, it is common for actors to work with trained horses for their roles. The horse was specifically chosen for the film, showcasing the bond between Eastwood and the animal during filming.