Paddy’s Goose, n. — Green’s Dictionary of Slang

Paddy’s Goose n.

[? its Irish landlord, thus Paddy n. (1). Mayhew, London Labour and the London Poor, (1861) IV 230/2: ‘During the Crimean war, the landlord, when the Government wanted sailors to man the fleet, went among the shipping in the river, and enlisted numbers of men. His system of recruiting was very successful. He went about in a small steamer with a band of music and flags, streamers and colours flying. All this rendered him popular with the Admiralty authorities, and made his house extensively known to the sailors, and those connected with them.’]

the White Swan public house in High Street, Shadwell, the best known seaman’s pub in mid-19C London.

1849		Paul Pry 1 Jan. n.p.: Turning along [Ratcliff] High-street, you find [...] a large public-house, known as the ‘White Swan,’ alias ‘Paddy's Goose,’ which is, night after night, the scene of the most infamous debauchery.
1861		H. Mayhew London Labour and London Poor IV 383/1: Music-saloons, such as the Mogul, Drury lane, and Paddy’s Goose, Ratcliffe Highway.
1865		Leaves from Diary of Celebrated Burglar 14/1: Off we went to a street higher up, and in it we came across a public house called ‘Paddy’s Goose’.
1865		T. Archer Pauper, Thief and Convict 119: It suddenly occurs to me, however, that bouquets are not amongst the usual accompaniments of the fair frequenters of Paddy’s Goose.
1874		J. Greenwood Wilds of London (1881) 3: There’s the [...] White Swan. However, if you want to find the last mentioned you mustn’t ask after it by the name I’ve give it, which is the proper name; you must ask after it as ‘Paddy’s Goose;’ that’s what they call it in these parts.
1902		J. Masefield ‘A Night at Dago Tom’s’ in Salt-Water Ballads 38: We scooted south with a press of sail till we fetched to a caboose, / The ‘Sailor’s Rest,’ by Dago Tom, alongside ‘Paddy’s Goose.’.