Thanks for the responses.
Whiskey Bravo: The ignition system on the H, with a magneto, is completely seperate from the electrical systems used for batteries, lights, etc. As for the Allis Chalmers, I threatened to trade my Farmall for a John Deere, but it still would not spark.
Armalite Fan: As for the coil or condenser replacement being defective, the thought had crossed my mind. I did break one connector when troubleshooting the original coil. The wire was an original, cloth covered, wire from the coil to the condenser. I replaced the defective connector. No other wires damaged. I also cleaned all the contacts.
Benjamin: I am leaning in your direction. Something, somewhere, is shorting. I am not sure 'what or where' there is a short, but that is my next angle for attack.
Repete: Yes, coil, condenser, points, and a magneto. A nice, neat little package that makes a battery unnecessary. The spinning magnet, inside of a 'loop' od wire creates its own electricity. A mini-powerplant.
Colt: Thank you for the links. Beleive it or not, the ATIS site is where I found a tractor salavage yard in my area (25 miles east of here.) The internet is amazing.