This adjective that means "behaving disobediently or mischievously" comes from the Old English for "nothing"
Behaving disobediently or mischievously: a ... 
Middle English noughti, wicked, from nought, nothing, evil, from Old English... [DOC] [TLE] Naughty - definition of naughty by The Free Dictionary [PAR] Behaving disobediently or mischievously: a naughty child.