There's not enough information to say exactly who Beckett is. It could be a random person with that name who has had an impact on fanfic. Maybe it's a pen name or an alias of someone within the fanfic community or someone who has some sort of authority over the works that fanfic is based on.
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.
I don't know who St Jude Beckett is in this story as I haven't heard of it before. It could be a fictional character or a real person that only a small group of people are familiar with.
It's possible that Beckett and Josh are characters in a fantasy - themed fanfic. Beckett could be a wizard in training and Josh a brave knight. They secretly meet because there are dark forces in the kingdom that would not approve of their alliance. Their meetings are crucial for sharing knowledge and planning strategies to save the kingdom from impending doom.
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.
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.
A coworker who has a crush on Beckett might be a main character. They could be the one who stays by Beckett's side the most during his recovery, and this could lead to a romantic sub - plot.
Emily Perkins is the main character in this story. She's likely to be a young woman who is in a situation similar to Cinderella. Maybe she has some sort of difficult family situation or is in a lower social position compared to others around her.
Perhaps it's a made - up name for a creative project, like a character in a book or a movie that hasn't gained much popularity yet. There's just not enough information to determine who it is.
In this fanfiction, Emily Jacobs could be an ordinary human who has some sort of hidden connection to the world of Percy Jackson. Maybe she has a long - lost relative who was a demigod or she has a special gift that she doesn't even know about yet.