CrystalVis,
I noticed you were referencing the file locations as what appeared to be UNC.
The following should work in that environment, but have used this as mapped drive locations via TCP/IP. Only suggest you try it and see with your addressing and see if it functions for you.
Option Explicit
'*********************************************************
' Visual Basic ActiveX Script
'*********************************************************
Function Main()
Dim objNewMail
Set objNewMail = CreateObject("CDONTS.NewMail"
objNewMail.AttachFile("\\Tfl\Users\Shared\Letters\Counts.xls", "Daily Counts.xls"

objNewMail.Send "jdoe@nextel.com", "jdoe@nextel.com;jsmith@nextel.com", "Letter Counts ", "Attached is the daily counts output file."
Set objNewMail = Nothing
Main = DTSTaskExecResult_Success
Dim dy
Dim mo
Dim counts
dim dailycounts
dy = day(now)
mo = month(now)
counts = "Counts" & mo & dy & ".xls"
dailycounts = "Counts Daily" & mo & dy & ".xls"
Dim objFSO
Set objFSO = CreateObject("Scripting.FileSystemObject"

objFSO.MoveFile "C:\FSO\counts.xls" ,"C:\FSO\" & counts
objFSO.MoveFile "C:\FSO\counts.xls" ,"C:\FSO\" & dailycounts
End Function
More info on FSO see
Check out the sidebar.
Hope this Helps.
DougCranston