Hi Kaz,
From what I understand, the main reason for your wanting to use the back up, is to remove the residue of an uninstalled program, yes? There are often easier ways to do this, which we have touched on above, and it might be worth investigating the program vendor's website, to see if there is a dedicated uninstall utility for it, which would hopefully remove it properly. It might even be worth Googling for one, if it's not obvious on the website. If you would like to tell us what it is you're trying to remove, we may be able to help further.
I have to say, using a backup facility to uninstall unwanted software isn't all that great an idea, in my opinion, as the backup process can often also remove other files that you may need, such as updates for other programs, etc. Of course, backing up your data
is a good thing, but for the purposes of removing software, I would always go by the conventional methods, and only if everything gets screwed, would I revert to a previous backup. This is just my opinion, of course, and others may disagree.
As for why your backup hasn't worked, sorry, I can't help with that, but hopefully someone who is more familiar with Acronis, and the like, will be able to suggest something.