Possible Clues:

• Doctor Seuss - do you initially name Homer's hero?
• He also called Ulysses a hero
• A follower left body for Sue on board ship - just like a hero!
• Classical traveller takes action against extremely silly party rolling over
• Mythological king you almost sussed out
• He had a deal of trouble during repatriation after demob
• Hero of Greek epic
• Penelope's husband liberally used soy sauce at first
• Used soy sauce primarily for cooking Greek on epic journey
• Greek name for the king Romans called Ulysses