Green’s Dictionary of Slang

1. a chimneypot.

1864, 1867, 1870

Hotten Sl. Dict. 268: WEJEE, a chimney-pot. Often applied to any clever invention, as ‘that’s a regular wejee.’.

2. a chimneypot hat.

1864, 1867, 1870		Hotten Sl. Dict.
1914		Dundee Courier 3 Mar. 8/1: The Hat in Slang [...] A by no means exhaustive list would include ‘tile,’ ‘golgotha,’ ‘canister,’ ‘castor,’ ‘chimney,’ ‘colleger,’ ‘cock and pinch,’ ‘cowshooters,’ ‘david,’ ‘digger’s delight,’ ‘fantail,’ ‘gomer,’ ‘goss,’ ‘moab,’ ‘molocher,’ ‘muffin cap,’ ‘mushroom,’ ‘pill box,’ ‘stove pipe,’ ‘thatch,’ ‘truck,’ and ‘wee jee’.

3. anything outstanding of its type, esp. an invention.

1864, 1867, 1870

see sense 1.