If you need to share or transfer files between Linux machines, you have plenty of options. Here are some you might not have considered.

Wondering is there some kind of compatible serial cable, usb cable or something around for me to use to transfer files between the two (windows to linux, or linux to linux or v. the previous)?

Jack Wallen shows you what might be the easiest method of transferring files between Linux desktops on the market.

In technical terms, DeltaCopy is a "Windows Friendly" wrapper around the Rsync program, currently maintained by Wayne Davison. "rsync" is primarily designed for Unix/Linux/BSD systems.