Agree with all previous comments.
As Nir pointed out, you don't need to include names. It's more important to give her a defining characteristic. This is usually something that forms the basis for her character arc - if you described her as depressed then by the end of the film she finds happiness.
Imagine someone "figuring out" something on screen. Chances are it would be a very small, very subtle bit of acting. That's it. So make the goal something bigger. As Nir said - it should be to stop the murders but you can suggest that there's a mystery involved - "she must follow the clues to unmask the killer before somebody else dies".