Outlook 2002 (XP) and Hotmail access

I upgraded from Office 2000. Inhouse Exchange server. Client configured for Corporate/Workgroup. Upgrade went great. Added my Hotmail account and can read Hotmail fine. Problem is this: when I send mail from Hotmail (via Outlook), the recipient receives it with the From field listing my Exchange mailbox name – not the name defined in Hotmail. Also – if I send Hotmail via Outlook, all replies come back to my Exchange e-mail address and not my Hotmial address. How do I send Hotmail through Outlook and really make it look like it came from Hotmail rather than my Exchange account? Tools>E-mail Account shows my Hotmail account with my name/e-mail correct – but it’s as if that info is ignored (or just used for incoming – not outgoing).