Well, 'Inner Reflections' might be a good name as it implies that these are stories that come from one's inner thoughts and are private. Another option could be 'Private Musings' which gives the feeling of personal and unshared thoughts. 'Personal Diaries' is also a straightforward and classic name for private stories as diaries are typically private and full of personal stories.
One way is to look at the main theme or subject matter of the private stories. If it's about a journey you've had in your mind, 'Mental Journey Private Stories' could work. Another approach is to use words that create a sense of mystery, like 'Enigmatic' in 'Enigmatic Private Tales'. Additionally, you can play with words and make up new combinations that sound appealing and convey the privacy aspect, like 'Priva - Tales' which is a creative and unique way to name your private stories.
One way is to use words related to secrecy and personal experiences. For instance, 'Hidden Whispers' combines the idea of something hidden and the act of whispering, which is often associated with secrecy. Also, consider your own emotions in the stories. If they are mostly about love in a private context, 'Love's Private Nook' could be a name. Another approach is to use alliteration, like 'Private Passages' which has a nice ring to it.
You can also consider names like 'Exclusive Insights', which gives the idea that it's something only a select few can see. Another option is 'Private Perspectives', as it implies that it's your own view of things and is private. 'Confidential Chronicles' is also a great name as it has a sense of secrecy and a story - like quality.