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.
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.
The unknown elements. For example, in a story where there are strange noises in an old house but you don't know what's causing them. It creates a sense of fear because our minds start imagining all sorts of terrifying things, like ghosts or monsters.
There was a girl who moved into a new apartment. Every night, she heard a scratching noise coming from the wall. At first, she thought it was just mice. But one day, she saw a face peering through a crack in the wall. It was a pale face with sunken eyes. She called the landlord, but when he came, the face disappeared. That night, the scratching got louder and louder until she couldn't bear it anymore. She moved out the next day.