In a search of the online text of The Scarlet Letter, there appear to be 8 uses of the word "naughty" (or bad/failure) in the novel. The word naught turns up no hits.
The examples are as follows:
On page 277- "Mistress Hibbins says my father is the prince of the air!"cried Pearl with a naughty smile.
Page 152 - The child probably overheard their voices; for looking up to the window with a bright, but naughty smile of mirth and intelligence, she threw one of the prickly burrs at the Reverend Mr. Dimmesdale.
P. 205- "Hold thy tongue, naughty child!" answered her mother...
P. 125-"...or art thou one of those naughty elfs or fairies whom we thought to have left behind us..."
P.121- That look of naughty merriment was likewise reflected in the mirror
P. 175 - "...as she glanced upward at the minister, wore that naughty smile which made it's expression frequently..."
P. 238- "Leap across the brook, naughty child, and run hither!
P.201-"...the naughty child picked up her apron full of pebbles..."