The Hidden Tale. Because it gives a sense of mystery and privacy, which is perfect for a private story. It makes people curious about what the story might be about while also indicating that it's something not for public view.
Personal Reveries. It conveys that the story is full of one's own personal thoughts, dreams, or memories that are private and only for a select few or just for oneself.
My Secret Chronicles.
The Private Passage. Since it's about a journey and it's private, this name gives the idea that it's a passage or a journey that is only for you or a very small group. It has a sense of exclusivity and secrecy.
A good practice is to be specific with the names. If it's a story about a project at work with your colleagues, use their full names or at least the names that are commonly known in the work context. For example, 'The Johnson - Lee Project Report' if Johnson and Lee are the key people involved.
You could name it 'My Secret Chapter'. This gives a sense of it being something personal and exclusive, like a chapter in your life that only you know about.
You could name it 'My Secret Adventure'. It gives a sense of mystery and personal experience.
You could name it 'My Secret Adventure'. It gives a sense of something exciting and personal that you don't want to share widely.
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.
Think about the main theme or emotion of your story. Maybe it's love, adventure, or mystery. Use words related to that to come up with a name.