WHAT-A-BURGER opened 8/8/1950 when Harmon Dobson opened Whataburger #1. The tiny burger stand offered something people had never seen: a burger so big, they had to hold its five-inch bun with 2 hands. An instant success, Harmon began to expand the business to other markets. By the end of the decade, Harmon would open Whataburger #21 in Pensacola, FL. The first Whataburger outside of TX.