Solution: The Dirty Kid

SOLUTION:

Each clue leads to a word from a particular nursery rhyme (all found online). There are five words for each rhyme -- two rhyming pairs, and a fifth word. Find the word that rhymes with each unrhymed word.

("Little Bo Peep")

Passing: FLEETING
Conformists: SHEEP
Verily: INDEED
Crying: BLEATING
Run: BLEED

⇒ rhyme for SHEEP is PEEP

("One Stormy Night")

Tool for sweeping: BROOM
Catholic afternoon service: NONE
Started: BEGUN
Lodge: ROOM
Brad's club: FIGHT

⇒ rhyme for FIGHT is NIGHT

("Lullaby, Lully")

System of weights for gold/gems: TROY
Minor: CHILD
Entranced: BEGUILED
Rest: SLEEP
Nazi division: JOY

⇒ rhyme for SLEEP is KEEP

("Who Killed Cock Robin?")

Influence: PULL
Simon and Garfunkel song: SPARROW
Whim: LARK
Projectile: ARROW
Rubbish: BULL

⇒ rhyme for LARK is DARK.

("An Alphabet of Names")

Wind flyer: KITE
Bobwhite: QUAIL
Drum or bugle signal: TATTOO
Kind of gun: RAIL
Card holder: SHOE

⇒ rhyme for KITE is LIGHT

The five words LIGHT, NIGHT, KEEP, PEEP, and DARK all appear in "The Little Star" (a longer version of "Twinkle, Twinkle Little Star"), so, doing the happy-recursive thing, finding the rhyming word for DARK gives the answer, SPARK.

(NB: "Dirty Kid" clues, extremely obliquely, "Uncouth Youth".)