Actually, there were long stretches of history in many places where marriage was not between a man: polygamy among the Jews, evidenced in the accounts of the patriarchs in the Old Testament (Jacob had two wives as did Lamech), was not abolished until the middle ages under pressure to conform to the Christian legal norm, then, of course, there is Islam which keeps up the Near Eastern custom of polygamy, places where Buddhists have practiced both polygyny and polyandry (different places), the Hindi record that in Vedic times polygamy was common (though Hindus are now monogamous), claims the Celtic pagans practiced polyandry, and a folk custom of polyandry in the Himalayas in which brothers share a wife.
Of course, except for oddities like Nero who “married” a eunuch and was mocked as a degenerate for it by his fellow pagans, it was always men marrying women, and involved a single spouse of one sex or the other.
Bad editing:
insert “and a woman” between the word man and the colon.