As one who has used a Spitfire and a TR-7 in New England winters, here are my hints:
1. Pull a spark plug and check to see if it's gunked up with oil or fuel residue. Clean them up with sandpaper and check the gap. If you've cranked them full of fuel, clean them and put them in a pan in an over at 250 degrees fof a few minutes. Or start fresh and buy a new set.
2. Check the point gap [if you don't have the Lucas electronic ignition]. It needs to be spot on. And the points shouldn't look like little files or little coneheads, either. Turn the key on and separate the points with a small screwdriver. You should see a good spark at the gap.
3. Invest in a new cap, rotor and spark plug wires. Without a healthy high tension spark, your car won't start.
4. Pull out the choke; check to see if it's really connected to the carb. You should see a lever move on the carb and you should feel some tension at the cable. Use ether as only a last resort. It washes oil off the cylinder walls, so it's not helpful in the long run.
My Spitfire, MGB and TR-7 all had some awful version of a Leyland water temperature automatic choke. Despite the bizzare set up, all of those cars started and ran successfully in winter weather. You can do it!
Jeff