. . . Foxy Drive-In.
It's the same restaurant, but not location, where Buddy Holly, Jerry Allison, Norman Petty, and the boys ordered burgers and fries to fuel their overnight recording sessions at Mr. Petty's nearby studio. The drive-in served its first burger in 1956. Mr. Holly's recordings were made the next year. A son of the original owners now runs the place. More pictures here.