I believe that microstop is made by Craig. It has a 3/8-24 shaft thread, 1/2" of travel and can take up to 1" dia cutter size.
Look in your dad's tool box, in the small drawers for some of these (usually in a Kennedy, if he has one). They screw into the microstop. I've come across them several different times in some pill bottles.
The microstop has a sealed bearing inside that may need a shot of Tri-Flow to loosen up. You can feel well the bearing is when pushing down the shaft and turning when fully down.
With your dad being a such top rated machinist, I'm betting he has all kinds of super nice custom made reference tooling he put away somewhere safe that he's accumulated over the years.
