To test the coil disconnect the distributor primary lead from the negative side. Remove the coil high tension lead from the distributor and place loose end of it 1/4" from a bare metal surface ( coil mounting bracket). Turn key on and check for 6 to 8 volts at positive side of coil, or hook a lead from the battery positive to the coil positive terminal. With a short piece of wire that is grounded on one end touch the other end to the negative side of the coil for a moment then remove. coil should create a spark across the 1/4" gap each time the negative wire is removed, if not coil is bad.
To check distributor remove primary wire from the negative side of coil and connect it to a test light or to a 12 volt bulb and socket assembly. hook the other end of the test light/bulb assembly to the positive side of the battery. crank the engine, the bulb should flash on/off or bright/dim rapidly. If it stays bright you have a short. If off you have an open circuit, corroded points/broken wire.
This assumes a 12 volt system. Otherwise substitute 6V where 12V indicated.
Hope this helps, Mike
1956 Fairlane Victoria (ORREO)
Overlooking Beautiful Rimrock AZ