Roy there is nothing listed in the trade directories and I also know where I used to play snooker. My mate Roger Lloyd had the hairdressers on the corner of Vincent street where you ay you tripped where two other of my mates worked. I spent a lot of time in that shop chatting to my mates and looking out the window right at the point where this supposed curry shop was.
This is a copy of the listing from the trade directory for those group of shops in 1964 adjacent to the Castle & Falcon pub.
414 Rafigue A. grocer
412 Bird C. H. fried fish dlr
410 Cook Sydney, secondhand furniture dlr
410A, Moloney's Sewing Machines
410 (back of) Billiard & Snooker Social Club
408 Ten Minute Tyre Service Ltd. motor tyre fctrs
402 Castle & Falcon P.H
I know the photo is too early being dated 1949 but it does locate the snooker room as the shop in your photo and it was still there in the 80's when cookie and his ron ran their amusement game machine business from there. Also it was just opposite there at the top of Balsall Heath Road where we started our business in 1969 and I used to pop into birds chip shop most days so I think I would have moticed a curry house next door.