You are wrong! Bull riding (jaripeo) and bull tailing (Coler) originated in the bull rings of colonial Mexico. They were later adopted by the Charros, and only later by vaqueros.  See the following:
Guarner, Enrique, Historia del Torreo en Mexico, (Mexico, Editorial Diana, 1979; "Historical Synthesis of Charreria,"Artes de Mexico 90/91, 1967; Steiner, Stan, Dark & Dashing Horsemen, Harper & Row, 1981; Slatta, Richard, Cowboys of the Americas, Yalre University Press, 1990. 
For a detailed discussion of the evoluation from bullgiht to Charreria to rodeo, see mary lou Lecompte, The Hispsnic Influence on the History of Rodeo, Journal of Sport History, Spring, 1985.