The crossword solutions for the term 'ONE OF A NURSERY RHYME TRIO' are 'BAKER' (5 letters) and 'KITTEN' (6 letters). The two words refer to two characters from the nursery rhyme 'Hey Diddle Diddle'. The rhyme tells the story of a cow jumping over the moon, a dish running away with a spoon, a cat playing a fiddle, and a little dog laughing at them. The BAKER and KITTEN are the two characters mentioned in the rhyme, making them part of the nursery rhyme trio.