If your focus is on the Greeks you need to word your question a bit better. There are different beliefs and customs in different parts of the Hellenistic age. In the patriarchal familial structure, the father is the central focus. In the near east fathers were usually the bread winners and the owners of their flock and family, the only exception is with the home itself. For most people, the wife was the owner and operator of the home. This is for obvious reasons. Typically wars were fought when crops needn't be tended; during these months the women of the estate were usually given command over the flock, family, and home. The natural result of this was that mothers were generally in control of their homes more than their husbands were. Motherhood is important in the near east. It is actually considered holy in both Greek and Roman traditions. Some of the earliest religions centered on the Earth mother, a matriarchal figure with many supple breasts. In Rome in particular, motherhood was a matter of national duty. Men were required to serve in the army if they wanted to enjoy public, or preferred lifestyles; likewise women were required to bear children for the same reasons. In many ways, being a mother was an alternative for going off to war.
As far as the Olympians go, there were twelve of them dwelling on the holy mount Olympus. These were Zeus, Hera, Poseidon, Demeter, Ares, Hermes, Hephaestus, Aphrodite, Athena, Apollo, Artemis, and Hestia. There is no real way to explain their notions of the Gods. They were all of them revered in different ways, and the vast majority of Gods, even those outside of the Pantheon were considered actual physical beings. Almost everyone on the planet at the time believed that warfare was conducted not by men, but was an outward manifestation of a discrepancy between the Gods of the men fighting. After wars were won, Gods were often depicted as defeating the patron Gods and Goddesses of the loser on victorious reliefs and statues. This practice was widely adopted by all Hellenistic peoples with the exception of course of the Jews. This practice survived long into the medieval and discovery ages as well. Most notably "Our Lady of Guadalupe" is always portrayed crushing a serpent. This snake beneath her feat is actually a caricature of the Aztec serpent God Quetzalcoatl.
Hope this all helped.