I received an inquiry concerning the history of women's crocheted caps in Lithuania. In response, i will give a part of what i have found in my research. Crochet does not seem to go back earlier than the middle of the 19th century in Lithuania, at least as far as caps. The tradition of crocheting or looping footwear from twine may well go back earlier, but i cannot verify that.
Women's caps were originally made from netting, This technique is old and widespread, it was also used in western Ukraine, as well as Scandinavia where it is called Sprang, and undoubtedly in other places. I will insert here the words of A & A Tamosaitis/Tamosaitiene on the subject, as they give a good description of the technique.
S. Sydorovych, 'Khudozhnia Tkanyna Zakhidnykh Oblastej URSR', [Artistic Weaving of the Western Provinces of the Ukrainain SSR], Kyjiw, [Kiev] 1979
J. Grigienė et al, 'Lietuvių Liaudies Menas - Drabužiai' [Lithuanian Folk Art - Clothing], Vilnius, 1974
Kati Reeder Meek, 'Reflections from a Flaxen Past, For Love of LIthuanian Weaving', Alpena, Michigan, 2000