Thanks for the info and suggestion above.
I do not have access to another Mac, but I now see that:
Through the System Profiler on my iMac, the USB port recognizes the Roxio hardware as "USB 2861 Device".
So the computer IS actually seeing that something is connected to the port.
So is the issue now the computer and the software not recognizing each other?
I followed the instructions exactly, step by step from the "Getting Started Guide." and as far as I can tell it's the latest version of the software 1.0.3
20 min later.... Okay, looking at it further on the Roxio site, I downloaded a driver updater but it looks to be the same version that come on the disc. (1.0.3) It's creation date is Sept. 22. 2009. Maybe Roxio hasn't gotten around to updating it for my Operating System 10.6.3 maybe?
I've uses Roxio Toast in the past and really do like their products.