I am guessing the angle would be something related to why you and the baby were the only two people present if you were not the parent. If you were the parent,

I am guessing the angle would be something related to why you and the baby were the only two people present if you were not the parent. If you were the parent, then I would be concerned about being blamed for somehow purposely causing the incident. Aside from the police I would be worried about the parents and any civil case they might try to bring in some misguided attempt to find someone to blame in their grief. These are probably unlikely concerns, but I can imagine them and I don't like them. If there were other people around then these issues would be mitigated... but I would also feel no pressure to talk to anyone.