From The Collaborative International Dictionary of English v.0.44 [gcide]:
Naughtily \Naugh"ti*ly\, adverb In a naughty manner; wickedly; perversely. --Shak.
From WordNet (r) 2.0 [wn]:
adverb
1: in a disobedient or naughty way; "he behaved badly in school"; "he mischievously looked for a chance to embarrass his sister"; "behaved naughtily when they had guests and was sent to his room" [syn: {badly}, {mischievously}]
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