Well, you could name it 'Laughable Lore', 'Funny Fables', or 'Jolly Journeys'. These names give a sense of fun and secrecy to your private story.
How about 'Secret Sillies' or 'Whimsical Whispers'? Another option could be 'Crazy Chronicles'.
You could use names like 'My Secret Chronicles', 'Personal Moments', 'Exclusive Tales'.
How about 'The Secret Silliness' or 'My Whimsical Whispers'? Another option could be 'The Hilarious Hideaway Tales'.
You can use 'The Jolly Jumbles' or 'The Wacky Wonders'.
How about 'Personal Tales Unveiled'? It gives a sense of the private nature of the story.
My Secret Moments.
My Intimate Recollections. This name is great because it emphasizes the intimacy of the stories. When you think of recollections, it's about memories, and the 'intimate' part makes it clear that these are personal and private memories that are being shared in the private story.
You could go for something like 'The Secret World of [Your Name]' or 'My Hidden Adventures'.
You could use names like 'Secret Moments', 'Personal Chronicles', or 'My Hidden Tales'.
For an Instagram private story, you could use 'Giggle Gallery'. It makes it seem like a collection of things that will make people giggle. Another one is 'Smile Snippets' which gives the impression of short, happy moments.
Think about your mood or the theme of your stories. For example, if your stories are about your dreams, you could name it 'Dreamy Private Tales'.