The scene: Paris, 1927. A time of the great writers Gertrude Stein and Ernest Hemingway.
Heingway, unbeknownced to Gertrude and Alice, has been bad mouthing the pair to anyway who will listen. (In legend, this is because Gertrude was seducing one of his wives with Alice's brownies. This is legend of course.)
Gertrude and Alice go to their barbar, but to their horror he has left town. Gertrude complains about this bad luck to her 'friend' Ernest who reccomends his personal barber who tends to his entire family. He is thanked and the couple goes on their way. Ernest calls ahead and askes for a bit of a practical joke...to shave their heads.
Gertrude sits down and is shorn and Alice follows. However, the plan backfires and the now lighter couple reccomends the barber to all their friends, thusly the lesbian community at large.
The barber shares his findings in an article called "Inverts and Hairdressing" regarding his new clientele and thusly, this hair stereotype has clung to the lesbian community since.