I'm sorry you lost your saves. Unfortunately the name can't be changed as it's part of the engine and isn't editable. It's a core part of how SugarCube functions and all Twine SugarCube games work like this. Browser saves and Save to Disk saves are separate entities; as outlined in the Troubleshooting Game Launch & Save Errors guide, Save to Disk only saves your current session on the passage you are currently on. If you are backing up browser saves, you need to load each save and save them individually, it cannot be done en masse.
Thank you for the reply. I didn't know about the problem the engine. Maybe you could add the info about how the saves work in the tutorial? At the start of the game when the save functions are pointed out maybe? I found a lot of other players with the same issue and maybe that problem could be easily prevented somehow. Thank you for this really nice experience, I did enjoy spending time with "Wayfarer" alot. :)