Visitor messages are messages from other YorkieTalk members on your Profile page.
Your profile page is:
http://www.yorkietalk.com/forums/members/yorkieluv.html
To reply to a visitor message, click on the "View Conversation" link below your visitor's message, and you can respond to their message. They will then see your message on their Profile page.
All your visitor messages will show up on your Profile page. The Notifications box just alerts you that there are new visitor messages you have not yet read.