“Log on to” Trusted domains listed

Is there any way to limit the trusted domains that are displayed when you press the down arrow next to the “Log on to:” prompt? We have 17 domains and I only want to show the one you are physically located in. Some of the computers only list the one domain but I don’t know how to duplicate it on the rest of the computers. This was a Windows NT4 domain that has been upgraded to Windows 2k and Active Directory. We are new to AD and I am not ruling out mis-configuration. I have searched Google with no luck so I assume I’m using the wrong terms.