I am sure you are correct. My source gives it as Stuttgart-Echterdingen.
You have control.
Just a little history:-
During the war the Luftwaffe based night fighters at Echterdingen, sharing the field with commercial aircraft. The fighters flew interceptions against the many Allied air attacks on Stuttgart and other targets in southern Germany. The Luftwaffe put down a concrete runway of 1,400 meters in 1943, but Allied bombers cratered it later in the war and eventually put the airfield out of commission.
First French Army drove through Stuttgart in April 1945, and left behind a detachment to repair the Runway at Echterdingen. American troops replaced the French Army in the early summer and put the airfield back into operation. When the U.S. constabulary, the armed force of the U.S. Military Government, moved into Kurmaerker Kaserne (now Patch Barracks) in 1946, their small flight section operated from Echterdingen Airfield with L-5 liaison planes. In 1950, Headquaters, Seventh Army was activated at Kurmaerker Kaserne, and their flight section replaced the disbanded Constabulary's at the airfield. The next year, Headquaters, VII Corps moved into Hellenen Kaserne (now Kelley Barracks), and VII Corps aviation units joined the Seventh Army section at Echterdingen. German and international commercial operations expanded rapidly after agreements made in 1954, and the corresponding need for more facilities required a continuous program of constuction and improvements. A new main terminal building and several ancillary buildings went up in the years 1954 - 1955. In 1959, the Flughafengesellschaft (FSG) started a runway extension project that took four years to complete.