Simple ? iTunes Question

I'm not sure this solves your problem but you do need to specifiy the location of the iTunes music library if you want it stored somewhere other than the default, which would be the internal drive on you iMac.

Open iTunes and select 'Preferences' under the 'iTunes' menu at the far left of the menu bar on your iMac. Then click on the 'Advanced' icon at the far right in the Preferences dialog box.

The top box shows the current location of your music library, probably something like, "/Users/yourname/Music/iTunes/iTunes Music. If you want it elsewhere click the 'Change...' button and navigate to your external hard drive.

Here's more detail from the Apple support pages. http://support.apple.com/kb/HT1391

Thank you Sfar - that is helpful and I will try it today!

Just hold down the Option key while you start iTunes and it will show you a dialog box to switch library or create a new one on any drive you want.

Well, I was able to move the library per your suggestions BUT much of the music remains sitting in my internal HD as well as in my external HD. I tried deleting an album in the internal HD but as soon as I pull the same album up again in the external HD it downloads it back into the internal HD so I don't need the external HD on to play the music. Before that was impossible.