Hi Bill,
Before you get too far into this... How old is your battery? Is it full of fluid? How cold was it when the battery drained overnight?
Whenever you come out in the morning and your battery is dead, always start by putting a charger on it and then checking to see if any lights or the ignition was left on BEFORE you start moving things around. What drained the battery is good to know.
If a battery is old enough that the cells have begun to calcify, you'll usually have some notice with one or two cells becoming shorted and showing up as low battery voltage after sitting for a while. A bad alternator would show up on the Model A ammeter as a drain, even with the car off.
The bad part is that once you run a lead/acid or gel cell battery that far, it never comes back up all the way. Running a battery that far down ruins it. Even if you put a charger on it and bring it back up, it's doomed to fail very soon and replacing it right away is the best solution.