The address says it was at 121 East Boardwalk,   However the numbers didn't seem to fit right because there were Old Law tenements with the addresses 123 Shore Rd and  135 Shore Rd on the same side of Shore Rd as the bowling alley, which was 140 Shore Rd.  Howie Hemsley may have solved the number issue though. He's pretty sure originally any building built fronting the Boardwalk always had an odd address ON the Boardwalk. To this day, the Brighton still uses the address 403 E Boardwalk. Thus 123 and 135 Shore Rd were actually buildings on the Boardwalk with AKA's of Shore Rd.  123 E Boardwalk and 135 E Boardwalk.  As far as the Bowling Alley was concerned, I believe it catered to the LB's residents who went the there by car and entering through Shore Road, the front entrance, which would account for it's 140 number.  Only a theory, but seems to make sense.

The Riviera Baths.  I had a little trouble locating this one at first, but identified it's location through another shot of it in the postcard below.  This structure stood between Long Beach Blvd and Riverside, west of the Trouville Restaurant, the Dauville and other bath houses which were on Long Beach Rd.

The buildings in the distance beyond the Riviera are the Dauville, Trouville and other buildings that stood on Long Beach Blvd. In the original, which I have, the name can be read on the tops of one of the buildings under a magnifying glass.  This card was postmarked 1926.