A Google search of "WSH Logon script" returned:

WSH Logon Scripts
http://www.winnetmag.com/Articles/Index.cfm?ArticleID=4760&pg=1

Hi

In VBScript, you can use InputBox to ask for username and password,
and MapNetworkDrive to map a network drive supplying username and
password if needed.

Note that you can pick up the current user name like this:

Set objWshNet = CreateObject("WScript.Network")
strCurrentLoggedInUser = objWshNet.UserName
WScript.Echo strCurrentLoggedInUser

You can also from your vbscript use the Internet Explorer object
to ask for and mask password input, take a look here:

http://groups.google.com/groups?selm=3EB7E661.7D857459%40hydro.com

The script in the link above requires IE 5.5+, if you want the script
to work on IE 5.01 as well, remove the following two lines (this will
re-enable right-click menu on the dialog):

           &  " onContextmenu='window.event.cancelbubble=true" _
           & ":window.event.returnvalue=false'" _

If you have Win98 or WinME computers, this might be relevant for the
PasswordBox routine in the link above:

http://groups.google.com/groups?threadm=e3496be5.0309162049.6c28474e%40posting.g
oogle.com

WSH 5.6 documentation (local help file) can be downloaded from here
if you haven't got it already:
http://msdn.microsoft.com/downloads/list/webdev.asp