Jackie, I see what you mean by "Firing". You are talking about spark plugs firing/sparking.
Firing usually means when all is hooked up and you are ready to start the motor running, you hit the starter and motor begins to "fire", to kind of start running but not. Firing is the fuel igniting/combusting inside but motor not really catching/firing enough times to start running on it's own. But still firing sometimes. You hear the exhaust noise and such.
Not firing is starter turns motor but there is NO noise except the starter and a gasp or two from the carburetor.
So what is it doing in that regard?
Did you spray gas or dribble a thimble full of gas into carb and try yet? You MUST do that ASAP. If you don't know how to do that, find someone who does. If it has spark it will ignite.
If it was running and then won't run, it could be OUT OF GAS!!! Check the tank. Do the spray into carb test.
Martin has you on the right track IF the spray test does not produce a few seconds of steady "firing".
We know that if you squirt gas down in carb and it won't even fire, it probably means no plugs have a strong enough spark. That excludes a fuel delivery problem and means that components that deliver to ALL plugs is suspect. Like points and condenser and coil and rotor and distributor cap and ignition switch and ballast/bypass system and wires. If you say timing is correct and firing order on distributor is double checked. (Clockwise rotation)