Thanks for that. I wanted to give you an update to where I'm at now...
In the attachment, you can see, I first tried to backup the image and kept getting an error. It's an old Maxtor SATA drive. So I'm unsure if the issue is age or the HDD temps (it was super hot when I was doing this).
Then I just F it and tried to clone it. It ran into an error, but when I went into disk management, the drive I tried cloning it to, shown as offline and the minute I made it online, it was identified the same way as the Maxtor drive.
I put the drive into the computer and it basically loaded with zero issues. I got curious and put the system recovery disk in to see if it would stop me and it didn't. It imaged it as if it was the Maxtor drive.
So, clearly (I'm not confident it's that clear) something is in that Maxtor drive's registry that fooled the computer into thinking my replacement drive (a WD Black Velociraptor drive) was the same thing.
I'd still like to figure out what is needed to properly get the recovery disk to see the right information as I may eventually want to upgrade to an SSD.
I do appreciate your help on this though. You've given me the best advice so far.