When the Police want you to come in and give "your side of the story," they want you to come in and confess to something. Fact is, they probably already believe the other 'side' of the story. They likely want you to confess to something so they don't have to do any additional investigation.
What should I do if the police call and ask for my child to be interviewed?
Don't do it without first speaking with an attorney. You may still wish to have him or her interviewed, but not before getting advice on the state of the law.