Hi Bill,
Well, I am at a total loss if there is no breech pin!
The normal configuration is for the breech pin (this is the largest screw in the gun) to go through the top tang and into a pillar which is integral with the trigger plate. This is the only pin that goes through the stock and essentially clamps the stock between the top tang and the trigger plate. I have taken many apart and fixed a few hairline cracks with CA glue and have had to glass bed a few due to wood shrinkage. Because there is no hand pin (this is a pin that goes from the trigger plate into the under side of the top tang) the Greener actions seem to be very prone to wiggling due to the wood shrinking. That is to say, there is only one screw to grip the action and not two...
The only other way (that I can envision) to hold the trigger plate on the stock would be a pin which runs from the trigger plate up into the underside of the top tang, similar to how the hand pin works.

Do you have the trigger guard off the gun?
Pictures would really help!