Your detailed follow-up on this issue much appreciated. Saddles are much easier to transport when firmly attached to a horse rather than being carried by a man. For that reason it's much easier to believe that some of Cleburne's veterans had possession of the saddle and not an elderly lady. If I recall, Cleburne went into the Battle of Franklin on foot, so his saddle would have been with his horse, held by a groom in the rear.
At this point your narrative makes it clear that we cannot identify the owner of the saddle and the revolver. Did anyone provide specific types for the revolver and saddle? That at least we should know.