Yes, it is true. Smyrna once played host to the legendary Bing Crosby. During WWII, the USO and the Red Cross hosted golf matches across the country to raise money for the war effort. In 1943, Ed Dudley, Byron Nelson, Billy Conn and Bing Crosby participated in one of these matches at the old Sewart Air Base course. The nine holes that they played comprise the current back nine at the Smyrna Golf Course.
This information came from one of the historic info signs that are located along the greenway trails in Smyrna.