Ulysses. The hero of Homer's great poem was known to the Greeks under the name of Odysseus. He was king of the pastoral islands of Ithaca and Dulichium. Most of the petty Greek chieftains became suitors for the hand of the beautiful Helen, and Ulysses was among the number, but withdrew when he realised the smallness of his chances. He then married Penelope, the daughter of Icarius, and at the same time joined with the other unsuccessful lovers of Helen in a sworn league for her future protection should she ever stand in need of it. He then returned to Ithaca with his bride.