My mother, born in 1926, wore a head scarf tied under her chin in the years when the Queen and Princess Margaret did.
I always thought the style unbecoming. Later I associated it with some of the Jewish ladies I knew who had originally come to Britain as refugees from Eastern Europe.
In the 1970s all my generation in Denmark wore either cloth nappies, dyed purple, as head scarves as a Women's Lib statement showing that we had better things to do with our time than wash nappies as the disposable ones had been invented. Before that only midwives used a nappy as a head-scarf. And they didn't dye theirs.
Then the fashion changed to head squares, preferably in gingham cotton, the size of the kind of table-cloth used by our mothers on a coffee table. They were a yard square and folded into a triangle, knotted at the nape of your neck with the point of the triangle under the knot. You then twisted the two long ends of the triangle and wrapped them round the the scarf on your head, knotting them at the top of your head.
They remained fashionable for at least ten years.
Another, less common fashion, still popular with some Orthodox Jewish women was used if you had washed your hair and had to go out in winter, or worked on a surgical , or neo-natal ward.
This entailed not folding the yard square scarf but bringing the top two corners up to the top of your head under your hair, knotting them there, or securing them with kirby grips. then bringing the other end that was hanging down your back up to the top of your head, over your hair and finally knotting its corners under both layers of the scarf at the nape of your neck.
This style made it practically certain that no stray hairs could fall on a patient or a baby. Some women working in kitchens used this method too - it is certainly hygienic.