The ancient island associated with the goddess Hestia is Delos. In Greek mythology, Delos is celebrated as the birthplace of twin deities, Apollo and Artemis, and is considered a sacred site. Hestia, the goddess of the hearth and home, symbolizes warmth, family, and domestic stability. Her association with Delos emphasizes the importance of home and community in Greek culture, highlighting the role of family in religious practices and daily life.