I see the problem, Edsaid.
Personally, I don't use the 'Address Book', although I can see your difficulty.
It would seem that the Address Book is part of/within the Contacts Folder. If you have imported your Contacts into your new laptop, the addresses should be available.
I found another link which explains.. Manage addresses in Outlook 2007 - Outlook - Microsoft Office
. Perhaps this will help.