1) Colonial era headwear 2) Frilly hat of long ago 3) Head covering, old style 4) Old-time headdress 1) Dormeuse 
• (n.) A plain cap or headdress for women or girls; especially, one tying under the chin by a very broad band, generally of the same material as the cap itself.
Mob'cap` noun [ Dutch mop-muts ; OD. mop a woman's coif + Dutch muts cap.] A plain cap or headdress for women or girls; especially, one tying under the chin by a very broad band, generally of the same material as the cap itself. Thackeray. 
[n] - large high frilly cap with a full crown
noun large high frilly cap with a full crown; formerly worn indoors by women
a soft cloth cap with a full crown, fitting down over the ears and frequently tying beneath the chin, formerly worn indoors by women.