Restoring or finding "On my computer" items

I'm using Microsoft Office 2011 for Mac in a corporate environment.  To organize my email, I created folders to house my older sent and received messages.  These custom folders were available from the "On My Computer" section visible in the left panel. After my Mac PowerBook died, I was provided a new laptop.  The IT person migrated over all my email that was available on the server, but not the mail from the "On My Computer" folders.  I used Time Machine to backup my system but was unable to restore it to the new Mac (IT person said it could not be done due to upgrade in OS).  I'd like to be able to access the email that I had stored locally, but I don't know how to find it. 

What would these files or folders be called by Outlook?  Anybody know how I might access this data?

Thanks