High Quality Content by WIKIPEDIA articles! Because another league was in competition for the class of 1961 college stars, the American Football League draft for 1961 graduates was actually held in 1960, with a six-round telephone draft on November 23, that saw the Denver Broncos select New Mexico State`s Bob Gaiters as the overall first draft pick. The draft was completed on December 5 and 6th, with rounds seven through thirty. The San Diego Chargers drafted as the "Los Angeles Chargers" in this draft, as their relocation would not take place until after the 1960 season was completed.