My Secret Moments
Personal Chronicles. It gives a sense of a story that is just for you or a select few, something that chronicles your private experiences.
Some other names could be 'Exclusive Episodes', 'Private Pages', or 'Confidential Chronicles'. These names give a sense of something that is only for a select few or for your own personal records. For example, 'Confidential Chronicles' implies that it's a collection of stories that are private and perhaps a bit like a journal that you don't want everyone to see.
Another option could be 'Intimate Narratives'. This name implies that the stories are something private and close to you, and it has a bit of a mysterious and alluring feel to it.
Some fun names might be 'Exclusive Escapades' or 'Personal Pandemonium'. The idea is to choose a name that reflects the private and unique nature of the story. For example, 'Secret Scribbles' gives the impression of a personal journal where you jot down your thoughts and experiences that are only for you or a select few. 'My Hidden Chronicles' is also a good one as it implies a series of events or stories that are hidden away from the general public, much like a private story should be.
You could call it 'My Secret Chronicles', 'Personal Tales', or 'Hidden Moments'.
You might consider 'Exclusive Snap Tales'. The word 'exclusive' makes it seem special and only for a select few (in this case, just you). Also, 'tales' gives it a bit of a story - like feel which is great for a collection of snaps. For example, if you're using it to document your travels, each snap is a part of the travel tale. So it works well for various types of content that you might want to keep private on Snapchat.
How about 'Personal Tales Unveiled'? It gives a sense of the private nature of the story.
One option could be 'The Unseen Scrolls'. It gives the feeling of ancient, hidden knowledge that is only accessible to you in your private story. Another great name is 'The Solitary Scribbles'. It emphasizes that these are your own individual thoughts and stories that you keep to yourself. And 'The Private Parchments' also works well as it gives the idea of something written down privately on old - fashioned parchments.