What do the characters in O Brother Where Art Thou represent in Homer's The Odyssey and who would be Helen of Troy and Menelaus if they were represented in the film?

In "O Brother, Where Art Thou?", the characters parallel those in Homer's "The Odyssey" through their roles and journeys. Ulysses Everett McGill represents Odysseus, while his companions Delmar and Pete reflect the roles of characters like Telemachus and various crew members. In this adaptation, Penny, Everett's wife, embodies the essence of Penelope, while the character of the lawman, Sheriff Cooley, can be likened to the antagonistic forces Odysseus faces. Although there is no direct representation of Helen of Troy and Menelaus, Penny’s allure and the conflict over her can symbolize Helen's beauty and Menelaus’s pursuit in a modern context.