my '57 phone book says Weingarten's No. 7 was at 5100 Harrisburg. I believe this is the same building shown in the photo. That building is still extant and, if memory serves, it won some kind of preservation award in the last 10 years. It was an HEB until the new Gulfgate store opened and is currently an Autozone. Edit: HCAD says 1948...but we know they aren't always right.
I went to see them once - in the early 80s. The son of a friend of mine was in it. Some of the boys I taught were in it also - that could have been any time from 1971 to 1984.