There's a description of a coif -- I forget now whether it was in Blackwork or Embroidery 1600-1700 at the Burrell Collection -- that the museum thought had been quilted with ... was it rosemary? I'll see if I can find the reference. (I think it was that the design featured a rosemary pattern, and that there was some thought that it had been quilted, with rosemary in the stuffing, but that any actual physical evidence of such quilting was no longer present on the actual item.)

An equivalent cap for men, I think, would be a nightcap.