Intel Mac :: The Address Book In A New Email Shows Only Names, No Addresses

I recently added new names with their email addresses in "Address Book" - picked the Group I wanted and then clicked the + sign under Names and entered the info in the space to the right.  I had already created a mailbox for each name and had gone through Mailbox-Preferences-Rules to have emails from or to routed to the correct boxes [which it did when I clicked on "Apply" at the end of this process].  All this to show what I did prior to choosing "New Message" in Email.  When I got the blank email page, I clicked on the Address Book icon above to retrieve the address I wanted and only the names of the people I had entered were displayed, NOT their email addresses.   I then restarted the computer - still the same.  How do I get the addresses to show up?

Info:
iMAC, Mac OS X (10.5.7)