She was worshipped by coming to the earth and kicking people
assess.
Many Mediterranean peoples of the ancient world worshiped Demeter or a similar goddess before Rome adopted Christianity.
The Greek goddess Demeter was worshiped in ancient Greece; at that time corn meant grain or wheat or barley, not the American maize.
The Ancient Greeks created the religion in which Demeter was worshiped, the smaller stories of that religion (much like there are bible stories today) are what form now as "myths".
Megara was a mortal woman from Greek mythology who was married to the hero Heracles (Hercules). She likely worshiped the traditional Greek gods and participated in their religious practices. There is no specific mention of Megara having a particular deity that she worshiped exclusively.
Demeter is the protagonist in the Origin of the Seasons. The tale of her reaction to daughter Persephone's journey to and from the Underworld was the basis for the cults that worshiped her.
Demeter is the Greek goddess of the harvest. When her daughter, Persephone, is in the Underworld with her husband Hades, lord of the dead, Demeter is in mourning and the plants die, creating winter. When Persephone returns to the Earth, Demeter rejoices and springtime occurs.
Persephone primarily worshiped Demeter, her mother and the goddess of agriculture. She was also associated with the cult of Hades, her husband and the god of the underworld, due to her role as queen of the underworld during the winter months.
Demeter gave birth to a daughter Despoena and the famous horse Arion both immortals. Despoena was a fertility deity worshiped by the people alongside to her mother Demeter. Arion was owned by Ogkios, Herakles and Adrastos
Despoina was a fertility goddess who was worshiped alongside her mother Demeter in an mystery-cult. Her father was Poseidon. Despoina is the title "Mistress", this goddesses name is otherwise lost.
Megara worshiped many gods, having temples to Demeter, Artemis, Apollo, Aphrodite, and others.
To the Romans: Aeon and Chronus were closely linked. If, however you mean "Cronus" (father of Zeus, Hera, Poseidon, Demeter, Hestia, Hades) the Roman worshiped him as Saturn.
Thebans would have worshiped Athena, Dionysus and Zeus more than any others. They possibly would have cults to Hera and Demeter as well.