You might consider 'The Cursed Chronicles' or 'The Phantom Fables'. 'The Cursed Chronicles' gives the idea that there is something wrong or jinxed about the story, perhaps it involves bad luck or something that seems to be haunted. 'The Phantom Fables' has a more ethereal and ghostly feel, like the story is a fable told by a phantom. These names can make your private story stand out and give it an air of the unknown.
Mystic Musings. This name gives an air of mystery and can be great for a private story where you might share some thoughts or experiences that are a bit out of the ordinary. It makes the readers curious about what's inside the story.
You could use names like 'The Mysterious Chapter', 'Secret Chronicles', or 'Hidden Tales'. These names give a sense of mystery and privacy which suits a private story well.
You could use names like 'Luna Darkwood', 'Morpheus Black', or 'Raven Nightshade'. These names have a spooky and mysterious feel to them, which would be great for a freaky story.