Since I have had no prior experience with the Sync Center, I have gone through setting it up. I will make note of some things in case it might address a relevant subject.
In order to set up the Offline files, I right clicked on the folder I wanted and selected Always Available Offline. When that action was taken, the files in that folder were copied to the Windows\CSC\v2.0.6\ folder. The first time I did this, I used a NAS and one folder on it. It appeared the files were copied over, but the system was unable to sync. Future attempts resulted in failed Sync attempts due to "Access Denied" errors. I still have to check to see if the files were actually transferred, and I will get back if I can get access to the storage folder location on my system.
The next attempt was on another computer and that Offline setup worked as it should. I can sync and see the files. I added the folder with the Green Sync designator to my library and can see the files with the other computer offline, as expected.
Anyway, if I understand, the data on the network location is gone. I suppose no other computer can still sync with that same data?
If the network location is on a Windows 7 computer, have you tried making new folders with the same name and then see it you could "restore previous". You might need to be careful in case the original laptop might try syncing with the new folders and remove the data on it.
Next I will try deleting the synced folder to see what effect it has on the accessing system. Then I will see if any files still remain in the referenced folder that can be salvaged.. I will post back if I learn anything new.