In an urgent situation, wouldn't a phone call be a more appropriate way to handle notification of those who need to know and will probably want important details? Not to say you made the right or wrong choice with an SMS, but to me, the redundancy of an SMS would become frustrating in a situation where a rapid fire of questions would be present (such as a loved one going to the hospital).
I'm starting to realize now that I think I'm on the cusp of a generation that still appreciates the importance of phone calls...my younger sister wondered why I called her when we arrived in San Francisco recently on our vacation, and asked why I didn't just text her when we got there, it seemed odd to me, but it becomes clear that many people (especially younger people) almost see phone calls as a nuisance. Anti-social generation? Or just another step in the direction of getting "old" I suppose! LOL!