Thanks, dwfaust!
The chart in your reply shows me what I was about to discover the hard way: that there were some Core 2 Duo's out there. I refer to this is my second paragraph. However, the main problem plaguing me is that I don't currently have a functioning Mac so I can't download much of anything from the iTunes App Store. Actually, that's ultimately what I'm trying to do, buy a not too expensive Mac that I can use to download a Mountain Lion Install app and then build a bootable drive that I need for my daughter's 2011 Mini I'm working on. It passes all the hardware tests, but doesn't want to boot into Internet Recovery, and I've already spent far too much time trying to figure that out.
I asked about the 32 or 64 bit issue because I ran across a reasonably priced 2008 MacBook A1181that had Lion in it, but the owner said it was 32bit, not 64. I don't know whether I could use a 32 bit machine to properly format the SSD I want to put in the Mini, or the flash drive, or whether it will download the OS X installer files and transfer them to the flash drive. It might do it, but will it work. I'm skeptical, but, as it is so apparent, my Mac knowledge is VERY limited.