See quotations.
1878. The mountain bronchos [are] selected for their skill in going up high and narrow ways . Our bronchos carried us with ease and safety; for one of these native horses could easily go up and down any stairs in Cincinnati.J. H. Beadle, Western Wilds, pp. 4534.
1883. A ragged, tough broncho horse.E. Ingersoll, The Sequel to an Old Romance, Harpers Mag., lxvi. p. 428/1 (Feb.) (N.E.D.)