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Now that she had rested and had fed from the luncheon tray Mrs. Broome had just removed, she had reverted to her normal gaiety. She looked cool in a grey tailored cotton dress with a terracotta scarf and shoes and her hair a black silk helmet.
1560s, either from Welshcydun, cytun (“agree, coincide”) (cyduno, cytuno), from cyd, cyt + un (“one”), literally “to be at one with”, or by metaphor with the textile, as cotton blended well with other textiles, notably wool in hat-making.
I want to tell you the Dukes, both mother and son, are cottoning to her fast enough
2009 March 21, Farhad Manjoo, “A Conference That Starts on Time and Stays on Schedule”, in The New York Times:
The conference — Mr. Allen’s first gathering, and, depending on the economic outlook, maybe his last — brought together entrepreneurs, techies, writers and even some middle managers who’ve cottoned on to his ideas.