babowa,
Thanks; I see what you mean. Of course, the drive in question was a DVD reader (which I bought "just in case" for my MacBookAir). As a result, no initialisation or formatting was done (nor necessary).
As I said, deleting the software from my Library / StartupItems folder, solved my startup angry note! I only intended to use the drive to install Adobe CS6, which I can probably do from a download, but as I've got the DVD and licence, I thoought I'd use the drive. Typically, too, I plugged the DVD reader in before I switched on, and I'm guessing that the software was installed automatically (the DVD reader takes a while to appear on the desktop, so there's a bit of a clue there that it's up to something).
I notice that some "solutions" to this problem on the web, suggested that, in order to uninstall Intego Backup Assistant, especially if you do what I've done, then you had to reinstall the software, stand on one leg in the corner, put on a woolly hat and sing "Rule Britania", etc. This might well be true for a formatted drive, but for a DVD reader I can't see it'll be necessary.
My new iMac (really good machine) starts up without any further to do, so I reckon this solves my particular problem - but I stress, this was only for a DVD reader.
Regards