I don't have a real obvious answer here other than you don't have to do that. You can use X11 forwarding for graphically controlling another Linux X session. Other than that, if you feel you need to use VNC for whatever reason I would check the settings on the vncviewer computer to ensure no credentials are already setup in .vnc or similar file. Also the server running vncserver must be setup to authenticate properly, this sounds a lot like your problem.
Good luck!
-Chad
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