Update.
Mozback failed, but I was able to find the old profile folder, put it on a flash drive, and copy it to the new machine's new profile, overwriting the files.
In the end, manually was the way Gilly!
Now, getting that old machine online is proving to be a pain. I ordered the Rosewill RNX-N180UBE adapter you suggested, but they sent a RNX-N180UB No"E" and no antenna!
At any rate, they are refunding my $ and told me to keep it. I tried it, and it finds my network, but at only 50%. Is that low enough to not let me in?