Candy, the police may have certain protocols but are not neccessarily trained too well in other ways and they have a narrow view in legal terms. If you called a child and family service agency or a crisis hotline, they could direct you toward a qualified specialist who is better trained and hopefully far more competant. You are correct to follow with caution but you are doing the right thing to make inquiries. I hope this helps and there are local services where you live. One last thing, a 3 year old has no knowledge or experience to fabricate such tales and that sure seems like enough to warrant further investigation at any cost.
Best wishes,
Peace,
Dan

_________________________
When you stumble, make it part of the dance.