I grew up calling it the pool hall or just the bar. Many use the term pool room or billiards hall. Whichever name you choose to use, I'm sure you would agree that about any safe pool room is a good place to hang out and work on your game. Doesn't the word Billiards Parlor make you kind of picture an extremely plush or rich looking pool room?
My home town is Pueblo Colorado. We only have a couple place here that would be classified as a pool hall or parlor. Don't get me wrong. There are probably 100 places where you can play pool but most of them are bars with only minimal tables.
A nice pool hall will usually have a variety of tables in different sizes. You could work on your game on the 9 foot tables or get in tune for league play on the bar sized tables. (usually 7 foot)

I was doing some research on what people are looking for in the area of billiards on line and this is what prompted me to write a little blurb about Billiards Parlor.
http://www.pool-billiards-game.com/billiardsparlor.html