Born on March 7, 1931 in Navasota, Texas, Stubblefield’s family moved to Lubbock in the 1930’s. Stubblefield was employed in his youth as a cotton picker. He served in the U.S. Army during the Korean War where he prepared meals for soldiers. In 1968, he opened his first restaurant, “Stubb's Bar-B-Q” on East Broadway in Lubbock, Texas. In the 70’s and early 80’s, the Sunday Night Jams held in his small restaurant hosted such musicians as Jessie "Guitar" Taylor, Stevie Ray Vaughan, Joe Ely, Terry Allen, Jimmie Dale Gilmore, Willie Nelson, Johnny Cash, Muddy Waters, Tom T. Hall, B. B. King and George Thorogood. Owing as much to Stubb’s warm smile as to his barbecue cooking skills, the restaurant soon became the center of Lubbock’s rich musical community. Stubb's restaurant burned to the ground in the 1980s and was never rebuilt. He relocated to Austin where he died in 1995. A memorial to Stubb was realized in 1999 when a bronze statue by his friend Terry Allen was dedicated on the site of his first restaurant. Stubb is depicted holding a platter of barbecue in one hand with his other hand open welcoming patrons to his restaurant.