I've noticed that some 1640s wood cuts show an odd shaped coif worn by women. The linen headcovering is normal at the front, but very pointy at the back, as is being modelled by the woman here. This picture is obviously a cartoon, the pamphlet from 1642 is basically about the guy on the right with the horns who has been cuckolded by his wife on the left. Perhaps the pointy coif is an echo of the rams horns which is the mark of the cuckold?
1646, The Parliament of Women with the Merry Laws by them Newly Enacted.