In a more light - hearted scenario, Emily could be a mischievous pet, like a cat or a dog that has run away, and the 'catching Emily' part is all about the family trying to bring their beloved pet back home.
It depends on the specific fanfiction. While the base material of Dragon Slayer might not have Levy as a Dragon Slayer, in the world of fanfiction, all kinds of alternate storylines are possible. Some writers may see her character as having the potential to take on this role and create a whole new set of adventures and relationships around it.
In the 'Emily Rose Story', Emily Rose is a girl who has to endure the horror of being possessed. She is the one that everyone in the story is either trying to help or figure out what's wrong with. Her experiences are what drive the whole story forward.
Makarov, the guild master, could also be present. He might see Levy's sleeping as a sign of the guild's youth and innocence. He could be reminiscing about the early days of the guild while looking at her sleeping form, and then make decisions about the future of the guild based on those thoughts.
It's possible that Levy is getting emotional. If the story has a touching plot, like a story of sacrifice or friendship, Levy, who values her friends in Fairy Tail deeply, could be moved to tears or have a warm smile on her face as she reads on.
Gajeel could be a great character to pair with Levy. Their relationship has always had an interesting dynamic, with Gajeel starting off as a bit of a rough character and Levy being more gentle and studious. Another option could be Lucy. They are both female members of the guild and could have a story together where they go on an adventure and use their different skills to overcome obstacles.
It can show her vulnerability. Levy is usually seen as a smart and capable mage in Fairy Tail. But in an embarrassing naked situation, her confidence might be shaken, revealing her more vulnerable side. For instance, she may become shy and reserved, which is different from her normal assertive self when dealing with books and knowledge.
Miss Emily Grierson herself can be seen as a symbol of the dying Old South. Her decaying mansion represents the decay of the old social order. The rose in the title can be a symbol of love or pity for her. She was once a lady of high standing but as time passed, she was left behind, just like the Old South was being replaced by the new era. And her actions, which seem so out of place in the new society, are like the last gasps of the old traditions.
I don't have enough information to determine exactly who Emily Hanford is in this context. She could be a journalist, an author, or someone involved in the media industry.
Natsu could be a great addition. He could be the fun - loving uncle figure who always gets the baby excited with his boisterous personality. His presence would add some humor to the story, like when he tries to teach the baby some of his fire - based magic tricks in a not - so - safe way, and Gajeel has to step in.