1937 Reno Bar is listed at 209 East 2nd Street, phone Reno-8991
1938 same as 1937
1939 Reno Bar is listed at 209 East 2nd Street, phone Reno-22871

We have a phone book gap...our next one is 1945

1945 No listing for Reno Bar
1946 Reno Bar 424 East 4th Street, phone 7228
1948 Reno Bar 424 East 4th Street, phone 7228
1951 Reno Bar 424 East 4th Street, phone 3-7228

I stopped looking after 1951.

Based on information available to me at this point, it sounds like the Reno Bar on 2nd Street was licensed in 1937, only, for one blackjack game. While no longer licensed, it sounds like they operated for at least 2 more years...maybe more. By 1945 they were closed.

In 1946 the Reno Bar on 4th Street opened...maybe they were related to the one on 2nd Street, maybe not.