You may consider 'Personal Musings'. This name is suitable because a private story often contains your own thoughts and daydreams. It's a space where you can muse over different aspects of your life, your hopes, and your fears without any external interference.
My Inner World
Perhaps 'Hidden Journeys'. This name implies that the stories are like personal journeys that are hidden from others. It gives an air of mystery and privacy, just as a private story should be.
You could name it 'My Secret Moments'. It gives a sense of privacy and mystery, indicating that the story contains personal experiences or thoughts that are only for a select few to see.
Forbidden Journeys. It's a great name as it creates an air of something that is not meant to be widely known or accessible. It gives the idea that the private story contains adventures or experiences that are special and not to be shared openly.
The Hidden Tales. You can use this name as it gives a sense of mystery and exclusivity which is perfect for a private story. It makes the reader or viewer feel like they are about to discover something that is not for everyone.
Another option is 'Personal Chronicles'. It implies that it's a record of your own unique happenings, and it has a bit of a historical or diary - like feel.
Well, 'Intimate Chronicles' is a good name. It conveys that the stories are about personal and perhaps emotional things that are private to you. 'Solitary Sagas' is also great as it can suggest that these are stories that are yours alone, not to be shared with just anyone. And 'Privy Passages' which has an old - fashioned charm and really emphasizes the privacy of the stories.
You could start by thinking about the main theme or emotion of your story. Maybe use a word or phrase that captures that essence as the name.
A simple yet effective name could be 'Just for Me'. It clearly states that the story is private and only relevant to you.
You could name it 'My Secret Garden', which gives a sense of a personal and private space full of unique things. Another option is 'Personal Reflections', as it implies that the story is about your own thoughts and experiences. Or 'Hidden Gems', suggesting that there are precious and private things within the story.
'My Secret Chapter', 'Personal Reverie', 'Hidden Tale' are great names for a private story.