I'm with others here, your pump is not the issue, but it's easy to check.
The 1936 oil pump has a screwdriver slot at the top of the shaft that the distributer drops into. Pull the distributer out, but before you do that mark the position of the rotor so you know where it needs to be when you replace it (don't turn the engine over with the distributer out). Put a long straight bladed screwdriver shaft on a drill and run it CW and see if you can make oil pressure.
Inspect the distributer shaft while it's out.
If all looks good there and the drill makes pressure, remove and disasemble the oil distribuition valve located on the drivers side of the block, it could be blocked with a piece of trash.
Let us know what you find...Good luck!
Mike B
