In fanfic, she could also be a bit of a rebel. Tired of living in her father's shadow, she might try to carve out her own identity in the NCIS world. This could lead to some interesting conflicts, both with her father and with the other characters in the story.
One possible storyline could be her following in her father's footsteps in the world of NCIS. She might start as an intern or a new recruit, facing challenges and making friends along the way. Another could be a story where she gets involved in a mystery that is somehow related to her father's past cases, using her own skills and knowledge to solve it.
Think about the plot. Why is he looking for someone? Is it a missing agent? A personal acquaintance? Build a strong backstory to support the search. Also, consider the setting in NCIS LA. Incorporate the locations and the overall atmosphere of the show into your writing. For example, if there are certain procedures or technology used in the show, mention them appropriately in your fanfic.
One great 'NCIS LA and NCIS Crossover Fanfiction' is 'The Joint Operation'. It combines the unique characters from both shows really well. The plot usually involves a case that requires the expertise of both teams. It shows how the agents from NCIS and NCIS LA interact, like how Gibbs' no - nonsense approach clashes and also gels with Hetty's more mysterious style of leadership.
Fanfiction.net is also a great place to look. Many fans post their works there. Navigate to the NCIS LA section and then use the search function within that section for 'Granger looking for someone'. You might have to sift through some results, but it could be worth it.
One common theme is the cooperation between the two teams. Since they come from different but related agencies, the fanfictions often focus on how they learn to work together. For example, they might have to overcome differences in their investigative techniques.
One possible plotline could be that O'Neill's sister gets involved in a case that Granger's daughter is also working on. Maybe they start off on the wrong foot but then gradually learn to work together and in the process, O'Neill has to play mediator between them.
One reason is the expansion of the universe. By crossing over, fanfiction writers can explore new relationships between characters. They can put characters in situations that test their limits and abilities. Moreover, the fans are already attached to the characters from both shows. So when they are combined, it's like a dream come true. It gives a chance to see how the LA - based agents would handle a case that's more in the realm of the original NCIS and vice versa.
In a crossover fanfiction, you could focus on the relationships between the characters. Perhaps there could be a bit of friendly rivalry at first between the two teams. But as they work together, they start to respect each other more. For instance, some of the more serious - minded characters from NCIS LA might initially clash with the more easy - going ones from Hawaii 5 - 0. However, by the end of the story, they become good friends and allies, having learned from each other's ways of doing things.