When did the familiar squeeze bulb horn develop? Were they not used until vehicles other then horse drawn brought about their use? The rubber bulb would need vulcanization, but perhaps a bellows might have been an earlier method. Bagpipes use a bladder to work a small wind instrument, perhaps that is the genesis but bulb horns are a reed instrument, I believe. Maybe some automatons?
Coach drivers in the 18th c used bugles to clear the way; bulb horns were a natural development but as you say, would have had to wait for vulcanised rubber.