Take your work's or town's prefix and follow it with one of these awesome suggestions:... Vipers.... Jackrabbits.... Sun Devils.... Sledgehammers... Humdingers... Manta Rays... Firebrands.... or Rebels?
Well this is a great question! How about Big Bat beauties or Losuiville Lovelies. Fat stick Diva's is also another one if this is for a womans softball team. You can also use team names from proffessional sprt teams such as the yankees, tigers, angels, or more team names of that nature.
There are a number of out of the ordinary, awesome names for softball teams. Softball is a great sport, requires quickness afoot and with the arm. I like Roaring Panthers and Flying Tigers as names. Maybe for a girls' team it might be a little risque, but Swinging Chicks or Sweet Peas.
The best team names play off some characteristic of its members (an occupation, background, neighborhood, etc. ) However, if you need an all-purpose name, one suggestion would be to call your team Our Balls Aren't Soft.