The Hound of the Baskervilles is the third of four crime novels by Sir Arthur Conan Doyle featuring the detective Sherlock Holmes. It's not a Nursery Rhyme nor a Fairy Tale. If I am incorrect please accept my apologies and correct me in a PM. Nicely done image though. 6
The only reference that connects it somehow to a fairy tale is the following narrative in the story itself:
"When Dr. Mortimer had finished reading this singular narrative he pushed his spectacles up on his forehead and stared across at Mr. Sherlock Holmes. The latter yawned and tossed the end of his cigarette into the fire.