Possible Clues:

• The ones over here taking American hero
• Occasion when public may visit (eg, school)
• Athenian king
• The girl's turning up amazed old Greek
• A hero in the South-eastern American states
• People here meet American hero of old
• Slayer of mythical creature. A lot of bull!
• University stops essays in ancient Greek
• Duke in A Midsummer Night's Dream
• Classical figure in Dixieland?