Mystery Sport

Saturday afternoon Norm and I went for a walk in the sunshine. We came upon a couple of teams playing a sport we couldn't identify in St. Vincent Park.
At first we thought it might be lacrosse, but a check of sources reveals that lacrosse is played with a stick that has a net on it, and these players wielded something that looks like a wooden scoop on a stick that is shorter than a field hockey stick.

The ball was white, about the size of a baseball. Sometimes they hit it on the ground, or scooped and passed it, and sometimes they swung the stick like a bat and hit it a long ways toward the goal. There seemed to be about 13 or 14 players on the field for each team, and they guarded each other in pairs. At times the game resembled soccer, other times field hockey, other times croquet. The audience resembled any local St. Louis amateur league audience: folding chairs, coolers, budweiser, little kids, babies in strollers, dogs on leashes. As far as we can tell, the team in the green shirts won.

Anybody know what sport this is? Please leave a comment if you do.