Surely by now you've found them, but I'll answer you anyway.  Use of the phone book for exact addresses is advised. 

 I haven't been there yet, but there is a bar reputed to be lesbian called Tipsy Turtle, on Glenstone just south of the railroad tracks & water tower on the west side of the street. 

The Edge seems to have a lot of women, mostly over 30 crowd, although not exclusively lesbian.  That is on Boonville about 3-4 blocks north of the Square, on the east side of the street. 

 The others are general gay.  (Rumors is closed, incidentally.) 

There is what used to be known as Oz that is now Jimmie Whatsis-name, but you can't miss it because it's just west of GLO, on Commercial (the center is near the corner of Washington), on the south side of the street--like the center, it has a rainbow-colored sign over the door. 

Everyone knows Martha's Vineyard.  All the young thangs hang there.  That's on Olive, just west of the where you come out of the north side of the Square, on the north side of the street. 

Did I leave one out, people?  I haven't slept very well lately  LOL  Seems like there should be another one....

 Can't help you at all with Joplin, sorry.