Simple Question: Is there a way to change a running window from Display A to Display B? For instance, if I have an instance of an application running on my Linux box at home, is there a command that will remove the window from the display at home and re-route it my Windows laptop running Xming and PuTTY? Or am I forced to use some VNC to get what I want?
No, there isn’t a way to do that.
It’s not exactly what you want, but NoMachine NX saves your session pretty well. It’s somewhere between an X server and a VNC client. On the console the screen command does something like what you want.