Green’s Dictionary of Slang

tit willow n.

[rhy. sl.; ult. f. The Mikado (1885) opera]

a pillow.

[UK]‘P.P.’ Rhy. Sl. 11: Stick yer ‘lump of lead’ on the ‘tit-willow’ and ’ave a bo-peep, ’cos yer ‘elephants.’.
[UK]J. Franklyn Dict. of Rhy. Sl. 93/2: I woke up wiv a marf like a carsey an’ I couldn’t lift me lump-o’-lead orf da titwillow to git at the fisherman’s.
[UK]R. Barker Fletcher’s Book of Rhy. Sl. 39: A man without a tit willow to lay his head on.
[UK]B. Kirkpatrick Wicked Cockney Rhy. Sl.