Just yesterday DD was telling me that there was a baby crying and was pointing outside when I asked where the baby was. About 5 minutes later sure enough one of our neighbor's kids was crying in the hallway.
For me I see no problem believing in things we can't understand like this and science. I'm a scientist and trust me there is so much we just don't understand. I don't have a good explanation for it but do I think it's possible? Sure! Even in my own life I've had very vivid dreams that came true (one I had when I was 9 that my mom would have more kids and she did end up getting remarried when I was in college and my step-siblings fit the exact description of the kids in my dream same number of them and gender and everything). Also when I was pregnant with DD I had a dream of what she was look like and her gender and both turned out to be 100% accurate.