How about 'My Secret Sanctuary'? It gives the feeling that the story is a safe and private place.
You can use 'The Hidden Diary'. It's simple and clearly shows that it's something private, like a diary that is hidden from others. Another creative name could be 'Personal Wonderland'. It makes the private story seem like a special, magical place full of your own unique experiences and thoughts.
How about 'Exclusive Exposures'? It makes it seem like the story reveals things that only a select few can see. Or 'Confidential Chronicles' which emphasizes the secrecy and personal nature of the story.
How about 'The Veiled Verses'? The word 'veiled' gives a sense of something being covered or hidden, just like a private story. And 'verses' can be associated with stories or tales. 'The Forbidden Folios' could also work. 'Folios' are like pages of a book, and 'forbidden' adds an element of secrecy and privacy. 'The Clandestine Chronicles' is another good one. 'Clandestine' means secret or stealthy, which suits a private story well.
'Secret Chronicles', 'Hidden Tales', 'Personal Reveries' are great creative names for private stories.
Try 'The Unseen Narrative', 'Secret Scribbles', or 'Private Portfolio'.
How about 'Girly Galaxies'? It gives a sense of a whole world just for girls. Or 'Missy Musings', which makes it seem like a place for girls to share their thoughts. And 'Petticoat Pages' is also a very creative name for a girls - only private 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.