She could be an ordinary human who somehow gets caught up in the world of Greek mythology. For instance, she could be a student who is researching ancient Greek history and accidentally stumbles upon a portal to the demigod world. From there, she has to adapt quickly and becomes an important part of the story, perhaps even helping Percy in ways he didn't expect.
One idea could be Ana Jackson being a long - lost relative of Percy Jackson. She could have her own unique powers that come into play when she joins Percy on his quest. For example, she might be able to communicate with certain mythical creatures that Percy can't. Another idea is that Ana is a new camper at Camp Half - Blood who has a different view on the Greek gods compared to the others. This could lead to some interesting debates and new ways of approaching the problems they face.
Another option is FanFiction.net. It has been around for a long time and hosts a wide range of fanfiction. Just use the search function and type in 'Ana Jackson' to see what's available. However, be aware that the quality of the stories can vary greatly.
One popular Ana Jackson fanfiction could be a story where she embarks on a magical adventure in a fictional world. It might involve her discovering hidden powers and using them to save the day.
One great Percy Jackson Lightning Thief fanfiction is 'The Lost Quest'. It continues the adventures of Percy and his friends in a really engaging way, with new monsters and challenges that fit well with the original story's tone.
One underrated character is Tyson. He has so much potential for a fanfiction focus. He's a Cyclops, which makes him different from the other demigods, and his loyalty to Percy is really heartwarming. A fanfiction could explore his backstory more, like his life before he met Percy at Camp Half - Blood. Another underrated character is Clarisse. She's often seen as just a bully, but there could be a lot more to her. A fanfiction could show her softer side and what made her the way she is, perhaps a story about her first quest and how it changed her.
I'm a big fan of Percy in fanfictions. He's always so brave and resourceful. In many fanfictions, he gets to show even more of his humorous side, which makes him really likable.
The main characters are Percy Jackson, the son of Poseidon; Annabeth Chase, daughter of Athena; and Grover Underwood, a satyr.
In 'Percy Jackson and the Lightning Thief Novel', Percy Jackson is obviously a central character as he is the protagonist. He is a demigod with the power of Poseidon. Annabeth Chase is another important one. She is the daughter of Athena and is very intelligent and brave. Grover Underwood, a satyr, is Percy's friend and protector. He helps Percy throughout his journey. Luke Castellan is also a key character. He has his own secrets and motives which are gradually revealed as the story progresses.
Maybe Saoirse Ronan for Ana. She is a very talented actress who can convey a lot of emotion. And for Christian, Robert Pattinson could be a possibility. He has experience in playing complex and somewhat mysterious characters.
There could be her best friend who is trying to take care of her while she's drunk. Maybe this friend is constantly worried about Ana and has to deal with her drunken antics.