Green’s Dictionary of Slang

a man who meddles in ‘women’s work’ around the house; also as v. and adj. cotty (see cite 1888, but poss. nonce-use).

1859		Bartlett Dict. Americanisms (2nd edn) 102: Cotbetty, a man who meddles in the woman’s part of household affairs.
1873		J. Mair Hbk of Phrases 101: Cotbetty, a man who interferes with woman’s special duties in a household.
1888		Orleans Co. Monitor (Barton, VT) 23 Jan. 1/4: The greatest fault this mad was poking his nose into something that was none of his business. His new wife called it ‘cot-bettying.’ [...] One day in particular he seemed more ‘cotty’ than usual.
1892		Newcastle Courant 26 Nov. 2/3: Americanisms [...] the husband who interferes unduly with his wife’s domestic duties becomes a ‘cot betty’ [...] and forms a companion picture to the ‘Bessie’ of English households where the wife’s prerogative in domestic matters is usurped by her husband.
1972		B. Rodgers Queens’ Vernacular 73: stereotype effeminate homosexual [...] cot betty (Brit).