Final answer:
J.M. Barrie met the Llewelyn Davies boys in Kensington Gardens, London, and their playful adventures inspired him to create the beloved story of Peter Pan and the magical world of Neverland.
Step-by-step explanation:
The writer J.M. Barrie met the boys who inspired the Peter Pan story by befriending their parents, Arthur and Sylvia Llewelyn Davies, whom he encountered during walks with his Saint Bernard dog in Kensington Gardens, London.
Barrie became close to the family and took on an increasingly significant role in the boys' lives after the untimely death of their father.
The playfulness and adventures he shared with George, John, Peter, Michael, and Nicholas Llewelyn Davies breathed life into the fantasy world of Neverland, leading to the creation of Peter Pan, the boy who wouldn't grow up.
J.M. Barrie met the boys who inspired the Peter Pan story through his friendship with Sylvia Llewelyn Davies. Sylvia had five sons, and Barrie became close with the family.
He would often play with the boys in the park and tell them stories, and it was this relationship that eventually inspired him to write the beloved Peter Pan story.