Green’s Dictionary of Slang

cot n.1

also quot
[abbr. cotquean n.]

a man who meddles in ‘women’s work’ around the house.

[UK]B.E. Dict. Canting Crew n.p.: Cot for Cotquean, a Man that meddles with Womens matters.
[UK]Bath Chron. 8 Dec. 2: [advert] Curtain Lectures; or, Matrimonial Misery displayed in a Series of interesting Dialogues between Men and their Wives [...] The Old Fumbler, the Miser, the Cot [...] the termagent Jade and the Scold; will find our Book is the Picture of Life.
[UK]Grose Classical Dict. of the Vulgar Tongue n.p.: Cot, or quot, a man who meddles with a woman’s household business, particularly in the kitchen; the punishment commonly inflicted on a quot, is pinning a greasy dishclout to the skirts of his coat.
[UK]Lex. Balatronicum.
[UK]Egan Grose’s Classical Dict. of the Vulgar Tongue.