The fuel pump sounds like an aftermarket replacement since the pump that you described is not a stock 1931 fuel pump. You will have to determine exactly what model and year of fuel pump that you have before you can order a kit.
To remove the existing diaphragm from the fuel pump you will have to grind off the top of the shaft to remove the diaphragm. Then, to install the new diaphragm, you will have to center drill the shaft and then thread the hole for an 8-32 machine screw.
You may want to find the correct fuel pump for your 1931 and then order a kit for that since those pumps are easy to rebuild.
