Those familiar with the suns movements over the city might be able to give an idea about the time of day based on the shadows. Dog track has been mentioned (never went to one as I was too young) but the speedway track, which I did visit on occasions (29A bus from Hall Green) crossed my mind.
When crossing the city to visit family, the model shop was a port of call for almost all boys and model enthusiasts and as for the women well maybe they let their husbands, boyfriends etc. go to Perry Barr so they could spend time looking around Rackhams. Lewis's and Greys amongst other places.