My ASP connection string works perfect when I use a local drive on my INF Server but when I try to connect to another server using the UNC or a Mapped Drive it fails:
This Works Fine:
Dim objConn
  Set objConn = Server.CreateObject("ADODB.Connection")

  objConn.Open "Provider=Microsoft.Jet.OLEDB.4.0; " & _
               "Data Source= C:\Access2003DB.mdb"

-OR-
   objConn.Open "Provider=Microsoft.Jet.OLEDB.4.0; " & _
               "Data Source= D:\Access2003DB.mdb"

But this does not work:
   objConn.Open "Provider=Microsoft.Jet.OLEDB.4.0; " & _
   "Data Source= \\ServerA\Shared\Database Folder\Access2003DB.mdb"

I would appreciate any recommendations.

If you are using anonymous IIS access then the default windows accounts:
<IUSR_computername> (Internet Guest Account) and IWAM_<machinename> (for out-of-process websites) are local accounts, i.e. they do not have access to remote resources
change the anonymous user account to a domain account, or some other
account that does have access to the remote database.

Thanks... I will give it a try.