Try this: launch WFaS on your old computer, start a new game, save it a couple of times (if you have free slots) and exit the game. Then relaunch it and see if your savegames are there.
- If there are none, it means that there is an issue with saving files by the game to directory in Documents.
- If there are some, check your drive for them; the format is sg**.sav (the asterisks are numbers starting from 00, 01, 02, 03 and so on).
I cannot help you further because the issue might be as well caused by some OS-specific or technical culprits, such as file architecture, permissions, faulty or malfunctioning drive, malicious software and so forth.
This is the last post of mine pertaining to your question since the pool of possible solutions to your problem has just been exhausted. As I said before, I do not have access to your computers and drives, so I cannot have knowledge about what exactly causes your problem. Maybe it is not an issue with the game, but with your software/ hardware since WFaS does not have anywhere to save games (missing Documents directory).