Shared Internet Connection Icon has vanished from Network Connections Dialog

3 computer Windows XP home Network using Shared Intenet
Connection.
Computer 1 is Primary computer with the modem.
Computer 2 and 3 use the connection on Computer 1

Last month Computer #2 developed a curious problem. When
the network was first set up all computers had an Icon in
the Network Connections Dialog which represented the
Shared Internet Connection. For some reason, on Computer
#2 this icon has VANISHED. The Shared Internet
Connection still functions, just no Icon.

I have run all variations of the Network Setup Wizard, as
well as trying to establish a new Internet Connection via
the Internet Connection Wizard, but nothing works! I
simply cannot get that icon to reappear. Without the
Icon I have no way to designate the "Shared Internet
Connection" as the Default Connection, and so the machine
defaults to the internal modem (which I use for faxing
only) and keeps asking to dial out.

Can anyone tell me how to get the bloody Icon to reappear?