So, since posting originally...I have some additions to make.
The problem seems to be random. I can usually get the drive to read about 1 or 2 audio CDs before it crashes on either the second or third. Sometimes it's the first CD that makes it crash.
I can put the CD in the drive..the drive light goes "on" and it reads the contents. The problems occurs when I try to read the contents of the CD by double clicking on the "DVD Drive" icon on the "My Computer" page. Or if I try to have ANY media player (Winamp, BS Player, Windows Media Player 10) play the disc. Yes, I updated Windows Media Player to see if this corrects the problem. It does not.
I was erroneous by stating that the other CD Rom Drive does not create this problem. It does, in fact, happen if I put an audio CD in that drive as well. So, this would eliminate the possibility that it's a hardware problem with the DVD Drive. This must be a software problem. The strange thing is that if it were a software problem you would assume that it would do the exact same thing each time an audio CD is inserted. This is not the case. As I mentioned before it seems to happen every second or third time. Sometimes even with the first CD I put in it. Everything seems to be kosher until I try to double click on the drive icon and see what's on the CD. This is where the problem originates and this is when it crashes.
Hair pulling has begun. I will look a lot more like Homer Simpson if this isn't resolved soon.