Instead of being a job, her dad could be one of the crime scene investigators and it could be take your daughter to work day. This only works if she's younger, tho.
Or she could be the kind of investigator that likes to look good but carries a spare pair of converse and overalls in the trunk!
If it's a serial killer type of crime, she could be a profiler that writes non-fiction about killers and is brought in to analyze the scene. John Douglas was a very good profiler for the FBI, he would be a good person to research, specifically the Wayne Williams case in Atlanta, GA. You could have the Crime Scene Analyst, which usually works for the Police Department/Sheriff's office but is grouped with Investigations in most departments. Think of someone like Dexter and the people that surrounded him, those are good examples. She could be a professor that study's the Psychiatry/Sociology of Violence (real classes taught in the Criminal Investigation curriculum) and has an extensive knowledge of behavioral patterns. The book "Profiling Violent Crimes" by Brent Turvey is a commonly used textbook in teaching Profiling, it has all the stats and characteristics listed to make your character sound intelligent about whatever crime scene topic you would like to discuss. As far as smaller departments, there is not a lot of hiring or using outside sources. District Attorney's offices now have investigators as well, just a thought.
That's actually not bad. I want her to be involved with that area, but only half-competent. Make her dad the guy with the stories, show her the basics, and she decides she wants to go to art school instead. (Yes, it is completely ripping off Psych, but the backstory is just so I can understand her, and probably won't come up.)