Your skipjack is a relatively small craft so the windlass was a a commercially manufactured item probably bought from a local ship chandler. Both drawings that you posted show what little mechanism that there was. The diagram that Jim posted shows the same thing.
If you look at the drawing posted immediately above, there is a rectangle sticking out behind each of the windlass heads. This is a socket for inserting a hand spike. Within that semicircular shoe on the forward end of the socket there is a ratchet mechanism. This allows the hand spike to engage the sprocket attached to the Sampson post on the downstroke, and disengage from it on the upstroke. The external pawl also engages the sprocket to prevent it from rotating backwards.
The windlass on your skipjack drawing works on the same principle except the hand spike sockets are on the outboard ends of the windlass drums with the large sprocket and pawl separate.
All of these windlass designs would have been patented, many of which are posted on the internet.
Roger