Being somewhat lazy, I decided to try an alternative method to what we have discussed...Simply putting a new hard drive into it with the OS already installed an functioning on my desktop. Actually, I tried twice, but apparently the first drive either wasn't working properly, or trying to run it in the ThinkCentre damage the OS, because it was running Kubunto 13.4, and was running properly when I put it into storage not too long ago.
The second drive I was certain of, since I have been having it run properly up to date. However, in the ThinkCentre the flying windows never even got to meet, before it would recycle back to the BIOS screens in a continuous loop. To double check the drive, I put it back into the desktop and it ran as it did before. Actually I'm running it now.
At this point, I'm wondering if the problem was just having the wrong drivers installed, or if I have feared, that the machine just isn't compatible with a non-IBM hard drive? I guess the only way to find out is to try recovering an image to another drive, because I have True Image Plus Pack, which is supposed to be able to make an image that will run on dissimilar Machines.