Steve,
Wartime restrictions on reporting during the war were very severe, at most bombing raids and damage caused to Birmingham were reported as "Damage to a town in the Midlands" with no mention of the exact location, sometimes you can get an idea of the location from photographs in the papers...
As an aside, there resides in the Birmingham Archives a number of boxes filled with photographs of war time damage to Birmingham, most of the photographs have the location on the rear, you might well be lucky there.