Well, finally!  I have the Jmail component working with SMTP server authentication.  I modified the code in the functions_send_mail.asp page so that the ServerCreateObject uses a different method.  The Jmail.SMTPMail was from an earlier verison of the W3 Jmail component and does not allow for authentication.  See code snippet below:

'JMail component
  Case "Jmail"

   'Create the e-mail server object
   'Here we change the method from Jmail.SMTPMail to Jmail.Message
   Set objJMail = Server.CreateObject("JMail.Message")

   With objJMail
     'Who the e-mail is sent to
    .From = strFromEmailAddress
    .FromName = strFromEmailName
    .AddRecipient strRecipientEmailAddress
    
    'Send SMTP Server authentication data
    .MailServerUserName = "username"
    .MailServerPassword = "password"

    'The subject of the e-mail
    .Subject = strSubject

    'Set the e-mail body format (BodyHTML=HTML Body=Text)
    If blnHTML = True Then
     .HTMLBody = strEmailBodyMessage & strEmailBodyAppendMessage
    Else
     .Body = strEmailBodyMessage & strEmailBodyAppendMessage
    End If

    'Importance of the e-mail
    .Priority = 3
    
    'Out going SMTP mail server address
     .Send("smtp-server.domain.com" )

    'Send the e-mail
    If NOT strOutgoingMailServer = "" Then .Execute
   End With

   'Close the server mail object
   Set objJMail = Nothing

I hope this helps those of you who were having trouble with authentication and Jmail.