It sounds like you're not going to be able to make a back-up of the library at this point. I doubt Media Center is running, but do you know if the Id is even showing up on your network? Does it have an IP address? If it is getting on the network and it has an IP address, you can access it from another machine. On Windows, in any file explorer window, where it shows the path, just enter \\<Id IP address> and you should have some access to some files.
Did you have a lot of files on the Id or are you just trying to get a library back-up?