As far as I know, no civilized society in history has ever granted that right.
Certainly they have. Ancient civilizations allowed for the marraiage of owners to slaves even when the slaves were of the same sex. The Bible condones slavery so why not same sex marriage if you read with a "liberal" outlook and do not cherry pick that which does not conservatively support a point of view. Other religious texts were written to approve of such relationships but we don't read those texts today since they might also discuss more than one god. Isn't it C. Hitchins who says the difference between aetheists and Xtians is the Xtians believe in one more god than the aetheists?
The custom continued into the mid 1700's when especially atractive eunichs and castrati were "married" to various officials, quite often religious leaders who had a certain proclivity toward specific behavior which could be condoned by a "liberal" reading of the Bible (Old Testament that is, Jesus never made a comment about same sex relationships. Read the Old Testament to find out how you should deal with an adulterous wife - public stoning - or that eating shell fish is an abomination).
Transvestites were taken as mistresses and wives even when their true gender was a well known fact to the public that counted such things, to score some of these impersonators as your personal prize was considered quite an honor in high society of the day and these spouses were presented in the Royal Courts of the time.
In many "uncivilized" cultures such as African tribes, South American peoples, Aboriginals and Native Americans, shamans would be taken as the wives of high ranking members of the community and many of the "wives" would take part in the female rituals and activities of the group, some to the extent they would cut their inner thigh or genital region each month to participate in the communal act of female menstruation.
And you really dont buy that legend that Annie Oakley was a good shot just to get in the travelling side shows because she liked Bill Cody, do you? That's like believing cables don't make a difference just because it's easier that way.
Same sex relationships have been condoned in numerous civilizations throughout history, even honored as something special in cases such as the Native American Shamans. Take a trip into some research and you'll find your answers, though you might not like what you find if you have already made up your mind to the "facts" as they have been fed to you.
Or, we could return to the days when we put people in stocks and on public display, making them pee in their own pants, when they were both gay and happy.