NB The Annie's Rhyme Time link no longer seems to be working. Googling Hink Pink or Hig Pig will bring you lots of hits, however.
If you're not thoroughly confused, here are some Book Chook riddles which you can answer in comments if you like.
Hink Pink (2, one syllable words)
gathering of crocodiles
what Mary got when her bonnet was run over by a steamroller
Hinky Pinky (2, two syllable words)
very naughty bug
guy who thought he was a butterfly
what we got when we fixed the table's wobbly leg
Games like this are a wonderful way to introduce kids to crossword puzzle clues, particularly cryptic clues. They tap into children's love of rhyme and fun with words, and give them an opportunity for some creative thinking. Win-win-win!