Karl,
Welcome to the world of IH Cub Cadets.
Sorry to say I dont live very close, but with this great site you should be able to figure out the problem with the battery.
The first thing I would do is disconect the battery, both post, charge up the battery and let is sit for a week. Check the charge to see if the battery is still full charged, if not the battery is bad. If the battery is good, the next thing I would do is check out the key switch, they do go bad internally. Another thing to check is voltage regulator, is the battery being charged while the motor is running, easyest way to tell if there is a charge going to the battery is to statr the motor, let it warm up a few seconds, disconect the postive post wire, if the motor dies, you are not getting a charge to the battery either beacuse you voltage regulator is bad or the starter/gen is not putting out a charge.
These are the first and easyest things would check.