What I would probably tell you to do is start an SSH server on the knoppix cd. I believe this comes with Knoppix by default. Once you are able to SSH in to the machine, install a program on the Windows machine you are wanting to go to called
WinSCP. It's basically graphical file transfer over SSH.
You can set the program up to look like Windows Explorer format or Norton Commander format (which is easier). Copy and transfer the files to where you need.
I work with linux boxes at work quite a bit and find this a very easy way to transfer files. Hope this helps.