The Haunting of Bly Manor uses the same framing device as The Turn of the Screw — a person telling a ghost story to a gathering of friends.
Both stories are about a young woman who is hired by a wealthy man to look after his niece and nephew at his country house, Bly.
The story of Miss Jessel and Peter Quint is pretty similar in both The Haunting of Bly Manor and The Turn of the Screw.
But as we've mentioned, The Turn of the Screw isn't the only book that The Haunting of Bly Manor is based on. Another James story, "The Romance of Certain Old Clothes," was also inspiration.
Henry Wingrave's "haunting", meanwhile, is partly inspired by James' story "The Jolly Corner."
Hannah's dedicated candle lighting habit seems to be inspired by James' "The Altar of the Dead."
Finally, Dani's fate seems very loosely inspired by "The Beast in the Jungle."
All of these stories have The Haunting of Bly Manor episodes named after them, and there are several other James stories that are referred to very briefly or given nods in episode titles: "The Great, Good Place," "The Pupil," "The Two Faces," and "The Way It Came".
And while characters like Owen and Jamie are entirely inventions for the show, Owen's name — and the name of the Wingrave family — is taken from Owen Wingrave.