How to re-connect to an existing Terminal Services Connection from the Same Remote Computer

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I have tried searching for an answer here trying to find out how to
reconnect to a disconnected session from the same remote computer.

I have about 30 computers that remote desktop connect to a Windows
2003 server.
I am not using Active Directory.
All 30 computers (all win XP pro) use the same user name to login
remotely into the terminal server.
Each computer has a different Computer Name on the network.

How can I set it up so that if any of the 30 computers get
disconnected from
the terminal server can reconnect to their own session?

Currently, if one or more of the computers gets disconnected from the
network,
and then one of those computers tries to reconnect, they are prompted
to select
an open session (or not, if there is only one disconnected session
left open).

I have noticed there is a session ID for each connected computer.
I have tried looking for scripts that will run when the user logs on
but they have not helped.
(ReconnAct! and some other kind of custom check_logon_connect.bat
file I found
referenced from one of the posts here somewhere)

Is there someway that will allow the reconnecting computer (not user)
to reconnect only to it's
previously used session ID by matching it up with the Computer Name?

Please HELP!
Thanks

.

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