'My Exclusive Snap Album'. 'Exclusive' makes it clear that only a specific group of people are allowed to view the snaps in this private story. And 'album' gives the impression of a collection of memories or moments that are precious and private.
You could use names like 'Hidden Highlights'. It gives the idea that there are special moments in the private story that are not for everyone to see. Another option is 'Personal Passages', which implies that it's a journey or story that is unique to you on a personal level. And 'Intimate Insights' is also a great name as it suggests that the content in the private snap story is something private and gives an insight into your life.
Personal Chronicles. This name gives the idea that your private snap story is like a personal diary, chronicling your unique experiences, thoughts, and feelings that you only want to share with a select few. It has a bit of a nostalgic and personal touch to it.
Think about your mood or the theme of the story. For example, if it's about a relaxing day, 'Chill Chronicles' could be a name.",
"Answer2":: "You can combine words related to privacy like 'covert' or 'clandestine' with something relevant to snaps. For instance, 'Clandestine Captures' or 'Covert Clips'. Another way is to use words that are personal to you. If your name is Lily and it's a story about your dreams, 'Lily's Dream Diaries (Private)' could work. You can also look at the content. If it's full of beautiful sceneries at night, 'Nocturnal Nooks (Private)' would be a cool name.