It might be a gift with a special meaning or related to a personal experience. But the exact story could vary depending on Charlie Woods' circumstances.
Snoopy could be a main character. He might follow Charlie Brown when he runs away and be his protector in the unknown places. Linus could also be important as he might try to convince Charlie Brown to come back home, constantly showing up with his security blanket and giving wise advice.
Charlie Brown comics are quite old. They began in the 1950s and have continued to charm readers for many years. Their longevity is a testament to their appeal.
One great 'Charlie Brown and Lucy' fanfic could be one that focuses on their friendship development. It might show Lucy softening her tough exterior towards Charlie Brown. For example, a fanfic could have a scenario where Charlie Brown is having a really bad day and Lucy, instead of her usual teasing, actually offers him some kind of comfort. Maybe she shares her lunch with him when he forgets his at school.
The reason behind the name 'Peanuts' for the Charlie Brown comic is somewhat mysterious. Some think it might have been inspired by the small and insignificant nature of the characters' problems and lives, like peanuts in the grand scheme of things. Another theory is that it was just a name that the creator thought sounded appealing and easy to remember.