Green’s Dictionary of Slang

langolee n.

[Welsh trangluni, tools]

the penis.

[UK]Bacchanalian Mag. 77: Ye wives with bad husbands, ye maids without any, / Make no more delay but come hither to me; / Your ills I’ll remove, let their number be many, / Your ailments dispel, with my Langolee.
[UK]‘Langolee’ in Facetious Songster in Spedding & Watt (eds) Bawdy Songbooks (2011) III 245: Langolee! what sweet vowels compose it / [...] / That Irish shillalegh called Langolee.
[UK]Farmer & Henley Sl. and Its Analogues.