Do I need a connector if my brush hog doesn't connect to what I am pulling it with?

A brush hog is a lawn mower that attaches (usually) to a tractor. You definitely need a connector, and they are available at http://www.messicks.com/partdetail/44536.aspx and at http://www.fayettetractor.com/pages/OemParts#%2fBush_Hog%2f412G_Belly_Mower%2fConnector_Weldment%2f02|~01|~0020%2f02|~01|~0065, but be sure to get one compatible with your tractor!