Here are a few pics to help.
The core I used is fairly typical from what I have seen. I plugged the holes with brass plugs from Ace Hardware to sandblast the exterior.
The next few shows the disassembled tower on the top of the cylinder and the pump, completely replaced.
The next shows the piston assembly lower and with the replacement gasket on it. The original was some kind of rubberized material which over the years had hardened and become much less flexible than needed. The upper and lower parts are not screwed together and do not have some form of attaching device to one another. They are held in place by the nut on top of the piston shaft. The last pic shows the two parts, the gasket and expander installed. All that is left is to add the felt gasket at the front of the piston.
Because the piston shaft is highly polished you need soft jaws for your vice to hold it. They are at Sears for about $12. I cleaned the shaft and put masking tape around it to give the jaws traction. A little wipe down with paint thinner cleans off any left over sticky.
When you begin assembling the air tank and piston, you will quickly find the gasket for the end cap is TOO SMALL. I do not know if it has shrunk in the package or just a defect. I kind of hope the one I managed to get on works. We shall see, however. This is true for two rebuild kits I opened. One was packed in 1983 and the other 1985.
I have found a source for rubber o-rings, one round and the other square that may fit. I have ordered them and will wait till they arrive for my next re-build.