Tablet means you have a special pen that you can write on the screen with (or just control the mouse pointer in general).
What do you get if you choose Customize from that list on right clicking BtS?
You can try searching for those files again, but tell the computer to look in Hidden & System Folders as well, that might find it for you finally.
It shouldn't be an issue with the information still being on the disk. You had to sit through an Installation process before you could play BtS the first time, correct? If not... Vista blows my mind, and is annoying as hell
But if so, then we are good, just have to figure out what the "trick" was that happened here.
I think that the reason FfH showed up for you with where you put it the last time is because you are in the Custom Assets Folder. While this works for many simpler mods, it doesn't work for BtS because of the numerous changes (I think primarily the graphical ones are what causes the hiccup there).
So for now the best steps are to see what
Customize does for you, and to try another search, but looking inside of
Hidden Folders this time. (If you can't find where to do that from post a screenshot of your search window and I'll try to spot it for you).