Green’s Dictionary of Slang

the Fleet prison, in Farringdon Road, London EC4.

1833		Satirist (London) 12 May 5/1: CON, from Farringdon College ‘Why may you be compared to a man brought up to the sea?’ said Pat Atkinson .
1836–7		Dickens Pickwick Papers (1999) 546: You wouldn’t think to find such a room as this, in the Farringdon Hotel, would you?
1849		Teetotaller 7 Nov. 1/1: Melville arrived at the Fleet-prison, in the custody of the [...] tipstaff in seedy black, who has so long fulfilled the pleasant office of escort to the Farringdon Hotel.
1849		A.B. Reach Clement Lorimer 184: ‘There are other prisons’ [...] ‘There's Horse-monger Lane and Whitecross Street.’ ‘And Newgate!’ exclaimed Lorimer, with vehemence. ‘Some to the Farringdon Hotel’.