A heavy gun on a rooftop is possible. However, as the war situation was rapidly changing, personnel may have been "attached to" other units as reinforcements or to create a heavier defensive zone/area. Or were split up to reinforce other areas.
"Regimental staff without own departments.
Staff / Flak Regiment 59 (v)
Presented on July 15, 1941, in Paris, from the Staff of the Flak Regiment 31, the staff formed the anti-aircraft group in Paris, and in February 1943 led Flak Division 344, Flak Division 496, Flak Division 593, The Flak Division 538, the Flak Division 744, the Flak Division 859 and the Flak Division 997. In April 1944, the staff at the
13th Flak Division led the heavy Flak Division 496, the heavy Flak Division 538 , The heavy Flak Division 125, the Heavy Flak Division 859, the Light Flak Division 911, the Light Flak Division 997, the Mixed Flak Division 344, the Mixed Flak Division 442, and the Mixed Flak Division 683. From May 1944 onwards, the staff of the 1st Flak Brigade under the command of Paris. In September 1944, he was transferred to the Luftgau V, and in October 1944 he led the 2nd / light Flak Division 821, the stab and the 1st, 2nd and 4th / light Flak Division 882, the Staff and the 1st .-4. / Light anti-aircraft unit 996, the light alarm flak battery 12./XIII and the light alarm flak battery 15./XIII. In 1945 the staff was located on the Middle Rhine.
commanders:
July 16, 1941 Colonel Theodor Herbert
16 November 1942 Colonel Egon Baur
January 1944 Colonel Walter Weiss
15 November 1944 Colonel Werner Huck"
Hope this helps,
Ed