A honey bun is a fried yeast pastry that contains honey and a swirl of cinnamon in the dough and is glazed with icing. According to legend, Howard Griffin of Griffin Pie Co. in Greensboro, N.C., developed the first honey bun in 1954. Flowers Foods acquired Griffin Pie Co. in 1983. Although the Greensboro bakery is now closed, honey buns remain a best-seller for Flowers.