It depends how she presented the report to her children. Did she just let them watch the news or read it to them. Children pick up the emotional state and anxiety of their parents, and they don't necessarily know how to deal with it.
If her children are having panic attacks over it, not sure global warming is to blame as much as she is. If there wasn't this issue chances are her children would be having panic attacks over globalization, open air slave markets in Libya, how police treat minorities, famine, etc.