If the iPod does appear in iTunes under Devices in the left hand pane, I would try a restore of it. This process will wipe all data from the iPod, reset all settings back to their defaults, and reload a fresh copy of the iPod's software onto the device. Doing the restore will help rule out the possibilty of a software error/glitch and/or corrupted data.
Do you use your iPod while exercising or working out?
So, I left the iPod on my desk for a week (just didn't have time to deal with it), and on a whim, tried it today. It works! I'm thinking that maybe it was an issue with moisture getting inside of it. Yes, I do use it to run. And I had read that moisture could be an issue. I didn't think that was the problem here simply because it had been working and it seemed as if charging it had somehow caused the problem. And, I had tried to restore it, but that didn't appear to work.
I still can't believe that they create a product like this which is ideal for working out, and it has issues with moisture. Seems like a no brainer fix.
Oh well, at this point I don't have to buy another one, so i am happy. I'm sure that it is just a matter of time though. Thanks for the help.