The lady at the estate sale in Madrona had no idea what this was. Neither did Lori. So at $2 for the set, Lori felt compelled to buy it and research it. It's a Merry-go-round one shot dispenser made by Park Sherman Company. It dispenses one jigger per pump of the wood knob on top!
Here's a picture of the box, stolen from someone else's ebay auction:
