You could name it 'My Secret Chapter'. It gives a sense of mystery and privacy. Another option is 'Personal Chronicles', which implies it's a record of personal experiences that are meant to be private. Or 'Hidden Tales' as it clearly shows that the stories within are hidden or private.
FitFolks' Secret. This name gives the idea that it's about the private fitness journey of the people in the gym. It has a sense of community within the privacy.
One way is to focus on the main theme of the private story. If it's about your travels, 'Travel Tracings - My Private Journeys' could be a good name. Also, consider using words that imply privacy like 'Hidden', 'Secret' or 'Personal'. Another tip is to combine words related to your interests and privacy, such as if you like reading, 'Bookish - Private Pages'.
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.
For private stories, you might consider names like 'Intimate Reflections'. This name implies that the stories are personal and close to the heart. Another option is 'Secret Scribbles', which has a bit of a fun and mysterious feel. 'Private Reveries' is also a nice name. It suggests that the stories are like daydreams or personal thoughts that are only for you or a select few.