Quoted from spinal:(This C37 is a Canadian machine (Manitoba) so it's possible that it was modified for Canada either from the factory or afterwards). Anyone have pics of ground wires in their C37?
My Abra Ca Dabra, has the exact green wire grounding as your C37. Those blue crimp connectors are from the 1970's, and are not a standard that Gottlieb used.
Your power cord is missing the cover in that area where the prongs are. For your own peace of mind replace the cord, attaching the ground wire, to the base of the transformer.