Padding-ken means: An obsolete piece of British thieves and vagabond cant for a lodging house that catered to tramps and vagabonds - essentially a dosshouse. Padding referred to the act of walking the roads , and ken. The word is mostly archaic or historical; you will only encounter it in old texts, period drama, or school history rather than current teen conversation. There is no real cause for parental concern; it is descriptive vocabulary rather than risky behaviour.