When Bo gets on the horse for the Bronc riding event, you see him wrap Cheri's green scarf around his neck, and tie it once. In the reverse shot from the stands, you see him wrap it around and tie it again.
Although several sequences were indeed filmed in Phoenix AZ involving 1956 rodeo and rodeo parade, non-rodeo scenes supposedly depicting downtown Phoenix and Cherie's boardinghouse were clearly shot elsewhere - no major thoroughfare in Phoenix has hilly terrain or Victorian style buildings seen in film.
The camera lens that the Life photographer uses at the rodeo is too short a focal length for this sporting event. In addition, a mono-pod or tripod would have typically been used with a long lens for sports photography.