I doubt it has anything to do with any mystical notion about women being the transmitters of traditional song. The old traditional ways of transmitting music are pretty weak nowadays anyway. Most people learn songs by going to concerts or folk clubs or listening to recordings. Partly, it's no surprise that women predominate in any kind of arty, educational endeavour. Organize some workshops on poetry appreciation, or water colours, or pottery, etc, etc and you'll probably find that most of the punters are women. (Assuming that punters can be of both genders.) Secondly, there's the fact that women seem to like getting together in group to do non-competetive things more than men do. In Canada there's a chain of sporting goods stores called the Running Room that hosts free group runs every Sunday morning and Wednesday. I have run with them many times and I am always struck by the preponderance of women. It's not that men don't run - there are lots of them at any road race - but I think a lot of them are training on their own.