Cranks but no start

The only pump is on the engine. If the car sat for a while, such as over winter, fuel may have evaporated out of the line down to the pump. It may be necessary to pour a little into the carburetor to get the engine started. It will run only for a few seconds each time you do that but it's that higher engine speed that's necessary to get the pump to start pulling fuel from the tank. Once it's primed, it will continue to supply fuel normally.

If the car is rusty, also look for pinholes in the fuel line along the frame rail. That will make the pump draw air instead of fuel.

Have you checked for spark?

Ahah! Check for voltage on the ignition coil with the ignition switch turned on. You should find full battery voltage on the positive terminal. If you find 0 volts, turn the engine a little by hand or by tapping the starter. There WILL be 0 volts when the breaker points are closed. When they open, the 12 volts should be there.