Well, 'Intimate Chronicles' is a great name. It makes it clear that it's about personal and close - to - the - heart stories. 'Soul's Whispers' can also be a nice name. It gives the feeling that the stories are like the quiet whispers of your soul. And 'Private Musings' is suitable too, indicating that it's for your own musings and reflections.
How about 'The Mysterious Meanderings'? It gives a sense of intrigue to your private story. Another option could be 'The Hidden Hilarity'. It implies that there are funny things in the story that are only for those who are privy to it.
For a cool name for your private story, consider 'Exclusive Exposures'. This name gives the feeling that the content inside is something special and only available to a certain group or just you. 'Solitary Sagas' is another option. 'Solitary' indicates that it's something private and alone, and 'Sagas' makes it seem like there are epic or interesting stories within. Also, 'Secret Scrolls' can be a good name. It has an old - world charm and the idea of a scroll being something that holds precious and private information.
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.
Well, you can start by considering the main characters or elements related to the private story. For example, if it's about a trip with your friends, you could use their names like 'John, Mary and Tom's Adventure' as the name of the private story. It makes it easy to identify and remember what the story is about.