Short answers, pulled from the story.
Hestia is the ancient Greek goddess of the hearth and home, and a virgin member of the twelve Olympians. She is the firstborn child of the Titans Cronus and Rhea, and sister to Demeter, Hera, Hades, Poseidon, and Zeus.
Hestia swore a great oath to Zeus to remain a virgin for all time after both Poseidon and Apollo sought to marry her. The Homeric Hymn to Aphrodite, composed around the eighth or seventh century BC, states that Aphrodite had "no power" over Hestia.
When a new Greek colony was founded, a flame from Hestia's public hearth in the mother city was carried to the new settlement. Without her sacred hearth, an agora, and a prytaneum, no new polis could properly be established.
Hestia's name means "hearth, fireplace, altar." It stems from the Proto-Indo-European root wes, meaning "burn," which in turn derives from a word meaning to dwell or pass the night.
The Hestia tapestry is a Byzantine tapestry made in Egypt during the 6th century AD. It is a rare late depiction of the goddess and identifies her in Greek as Hestia Polyolbos, meaning "Hestia full of Blessings."
According to a tradition preserved by Plutarch, Hestia appeared in a dream to King Tarchetius and forbade him from executing his daughter and her handmaid. The handmaid survived and gave birth to twin sons who were later identified as Romulus and Remus, the legendary founders of Rome.