Burgess was born in Eudora, Arkansas.[2] A man with a good sense of humor, he once described his hometown as being so small that "the only fast food we had in that town was if you hit a deer going 70 (miles per hour)."[3] He attended Arkansas Agricultural, Mechanical and Normal College (Arkansas AM&N), a small school now known as the University of Arkansas at Pine Bluff, for one year while also playing on the basketball team.[4] He then joined the Air Force and spent a four-year tour of duty in Europe.[4] Burgess still played basketball even in Germany and was so good that he was picked to be one of the 10 best Air Force players in the world.[4] While stationed at Hahn Air Force Base he averaged 33.4 points per game.[4] It was during this time that Burgess met Mel Porter, a fellow American Air Force officer and Gonzaga University alumnus.[4] Porter recognized Burgess' talent and played middle man to Burgess and the Gonzaga Bulldogs men's basketball coach, Hank Anderson.[4] Although Burgess had also started to receive serious interest from Kansas and USC, he ultimately chose to attend Gonzaga because he felt that that school would get him the most prepared for life after basketball.[3][4] "You have to remember, I had gotten out of the service, and I was married with twin girls. I was about getting an education and taking care of my family," he said to a newspaper reporter later in his life.[3]
College
Burgess matriculated at Gonzaga University in the fall of 1958 after his stint in the Air Force had ended.[2] He spent three years at Gonzaga, from 1958–59 to 1960–61. He led the Bulldogs in scoring all three seasons, scored 40 or more points in a game seven times with a career-high 52 points against UC Davis, led the NCAA in scoring in 1960–61 with a 32.4 points per game average, and finished as the school's all-time leading scorer with 2,196 points.[2] He received All-American honors in both his junior and senior seasons, while in his senior year he was a consensus Second Team All-American.[2] Although his Gonzaga career ended in 1961, Burgess is etched in the records book at the school, including:[4][5]