Susan, you can tell the girls that it's very,
very rare, the problem has mostly been dealt with, and generally speaking it's not something they need to worry about unless they're using counterfeit Chinese phones with counterfeit batteries.
2004. Girl burned when cell phone catches fire.
2005. 10-Year-Old Boy Burned After Cell Phone Explodes
Those were the only two I could find on Google--the purported cell phone fire in Vallejos, California, was later debunked by a fire investigator who showed that the phone in question still worked, and you could make a phone call with it, and that the battery was undamaged.
2007. And there's this:
Federal authorities have reported very rare instances of cell phones catching on fire. Between roughly 2002 and 2004, the federal Consumer Product Safety Commission received 83 reports of cell phones catching on fire. In 2004, there were an estimated 170 million cell phone users in the United States. Today, there are 219 million.
As far as I can tell, all the manufacturers of the phones involved have recalled either the phones or the batteries or both.
And there are some useful tips for avoiding the whole problem in the first place
here.
So, really, it isn't something that I'd waste much time worrying about.
I have not the slightest qualms in carrying (and using) a cell phone myself, nor about my two daughters, one son, and one son-in-law
also all carrying (and using) cell phones. And I've been pestering Hubby to "get one, for heaven's sakes". And
I'm the one in my family who goes down in the basement every time the tornado sirens go off, not just when "it looks pretty bad out there." You can tell the girls that there's a JREF Worrywart Mom who isn't worried.
