Green’s Dictionary of Slang

kidden n.

also kid ken
[ kid n.1 + ken n.1 (1)]

a lodging house frequented by young boys, usu. criminals.

[UK]W.A. Miles Poverty, Mendicity and Crime; Report 74: There are men of this class in London, especially about Stepney, who board and lodge boys and buy all their stolen property. These places are vulgarly called ‘kid kens’.
[UK]H. Brandon Dict. of the Flash or Cant Lang. 163/2: Kidden – boys’ lodging-houses.
[US]Matsell Vocabulum 48: kidden A boy lodging-house.
[UK]Hotten Dict. of Modern Sl. etc. 55: Kidden a low lodging-house for boys.
[UK]Hotten Sl. Dict. 105: Kidden, or KIDKEN a low lodging-house for boys.

In compounds

kidden-gonnof (n.) [gonnof n. (1)]

(UK Und.) a boy who frequents lodging houses hoping to pick up minor criminal work.

[UK]G.M.W. Reynolds Mysteries of London III 66/1: The skin had three finnips and a foont [...] A fly kidden-gonnoff will leave this flim .