If the leak is coming from the core, I would guess that you should be able to smell antifreeze.
I have a 73 Runabout that sat outdoors for too long and the vent sheet metal, (below the windshield, under the louvers), rusted and that is where my leak came from.
Located on the passenger side, the heater assembly attaches to it with a soft rubber doughnut between heater and body.
I welded as much sheet metal patch as I could to fix the problem. Only trouble is there was not a lot to weld to. Will use bondo to fill in the rest
Al