19th Century Early Women’s Cotton Caps. Worn as morning caps, night caps, or under other hats. Jane Austen and her family and female friends would have worn caps like these, sometimes during the morning at home, to bed to keep their long hair from becoming knotted, or under a bonnet to hold a hairstyle in place. via Museum of Fine Arts, Boston, U.S.A. mfa.org

Definition Boudoir Or Morning Cap: worn by women in the privacy of their ‘boudoir’ and was not a simple night-cap but a lightweight, decorated cap which covered the hair before it was dressed for daytime activities or for at-home pursuits. 

Definition Cornette or Morning Cap: Muslin or other lightweight material, worn to cover hair during at-home pursuits such as reading or sketching, tied under chin and sometimes worn under bonnet. 

Definition Lappets: Two long strips of material, often lace, hanging from top of head down back or over  shoulders. Sometimes extensions of a headdress and a requirement for court dress.