Since I'm really really REALLY annoyed seeing women who would in period be wearing hats and hair coverings in period at SCA events with bare skulls, I went into this whole project to really make wearable peasant or working class garb from top to bottom. I fudged the underwear, but we'll talk about that later.
Pieter Brueghel the Elder's paintings are distinctive in their portrayal of peasant head gear, especially on women. Often in a Brueghel painting, the brightest eye-catching areas are those where a blindingly white kerchief (for lack of a better name) is atop a lady's head.
So here they are:
Some headgear from Aertsen:
Holbein's paintings are much more aimed at the wealthy upperclass and nobility, so I have left him off here because the headdresses are quite a bit different.