Green’s Dictionary of Slang

noddy head n.

a fool.

1915

M.G. Hayden ‘Terms Of Disparagement’ in DN IV:iii 205: noddipole, -pate, -peake,-head, simpleton. ‘My sister likes the country but she gets tired of trying to make anything of the noddy-heads.’.

In derivatives

noddy-headed [the nodding of the drunkard’s head]

drunk.

1933		‘William Juniper’ True Drunkard’s Delight 231: Muddy, noddy-headed, mixed.
1999		Indep. on Sun. Culture 10 Oct. 1: Cocoa-powdered and noddy-headed racial impersonations.