TwingleMum, please don't take people's skepticism personally. I believe that you are reporting something as you were told.
I think if your subject was "Child dies after choking on hot dog!!!!", you would not have had so many questions. I have vivid memories of my mom holding my brother upside down by the feet (before the days of Heimlick) to dislodge something he was choking on. Everyone knows someone who almost choked and most people know that hot dogs are dangerous to kids, so we know it can happen and it can happen fast. It could also happen anywhere and even if a doctor was sitting right next to you with a medical bag, it might not have a happy ending.
I didn't used to be so skeptical, but I have a friend who gets a lot of sad story emails (and she emails them all to me). I passed some of them on, but then another friend emailed me back that she had seen the same story with a different location. The one I emailed on was an urban legend. When someone gives a story that has things in common to things that I have read that are urban legends, I start to wonder about it. A lot of the urban legends that include a child who dies, also include a pregnant mother who faints at the funeral and needs to be taken to the hospital. So, if anyone is to blame for people looking at your information with skepticism, it is the people who make up and spread urban legends.
And, I agree that there might not be any "proof" in the newspapers/web because this is not the sort of thing that makes the news. And there may not be an obituary or funeral notice to find - not all families put them in the paper, especially for children.
So, IMHO, the take home lesson from this is that bad things can happen quickly when we don't expect them. So take what precautions you can to prevent accidents and remember that life is precious.