Green’s Dictionary of Slang

(US) a local gaol.

1905		Minneapolis Jrnl (MN) 29 Mar. 11/4: When you get a story so bad you can’t tell it in English without gettin’ shunted into the stout house, just [...] sing it in the Eyetalian.
1906		Minneapolis Jrnl (MN) 27 May 35/7: The village constable had threatened to slam Phyle in the stout-house if he didn’t quit sassing the umpire.
1910		Bismarck Dly Trib. (ND) 15 June 5/5: Friends of the woman endeavoured to have her released from the stout house.
1913		(con. 1872) Day Book (Chicago) 7 Mar. 18/1: One April day in 1872 the frontier town [...] allowed as how something like a constable or sheriff was needed, for ‘next time there was shootin’ on the shooters might be left to stick into a “stout house”.’ A stout house is a jail.
1930		Marshfield News-Herald (WI) 12 Aug. 8/1: He was marched away to the village stout-house.
1966		‘Tom Pendleton’ Iron Orchard (1967) 114: We ort to of let them fuckin’ bulls cart you off to the stout house [...] you ol’ crock-head.