Due to thin hair I wear kerchiefs in the circle or my "Navy Wife" hat often. I have never had anyone say anything to me about doing so....but those that know me, know why I am wearing them.
I am unsure of your tribe, however, there are several types of head coverings for women of the northeast. The most noticeable are the hoods of the Micmaq.
I have also seen women wear fox (badger, skunk, raccoon, etc) faces in their hair, both forwards and back....I have a brown fox face in my stash that I will wear as well.
Back to the wheel, I set my fire pit on a wheel. It;'s not your classic round field stones, but the marker stones are in the four directions and I start the fire with sage and cedar every time.