So, entirely possible that the area you described was conquered in that week. Though it was moot by that point.Sorry, Mr. Vigilanteman, but a few bits in your map might not be correct.
You see, Stuttgart had been taken on the 22nd of April by the Free French forces, while the Americans took the eastern suburbs in the same days.
However, as Stuttgart was supposed to be in the US zone of occupation, the French ceded it to the US army on the 5th of July.
The final line of demarcation between both zones was, however, really formed by the present-day Autobahn 8.
Interesting,,,speaking of moot points...I know this old German guy who describes how when he was a teenager, the SS came to his village and were looking for kids to fight to stop the allied advance from the west. He and a lot of others hid out in the hills (Odenwald) and resisted the fanatic freaks. Would be nice to have a map of those!