Hmmm, people do lie on the internet, yes, but it seems a real and unfortunate situation to me. But I'd like to argue your points:

-Are all death reports public? I mean there could be a mistake in the report, or the details could not be disclosed in this case -What do you mean it seems like their birthday? People can die on their birthdays just as much as any day.... -The parent can refuse the medical treatment -I mean this isn't being an asshole. This woman literally killed her child by insisting on her own "treatment" instead of getting professional, medical help for her sick kid. I feel sympathetic for her loss, but the commenter was speaking truth honestly. -i don't understand this point just as much as the bitthday one. The attention you get for a situation doesn't disvalidate that situation. Just because they don't get likes and comments on facebook doesn't mean they didn't lose their child.

People do lie on the internet, yes, but I believe this one is real. And so far, none of the things you pointed out have disproved the original post.