A slightly more sophisticated approach would be to use the all /other/ data they have on her to predict what hospital she is likely to choose. Why stop with just her hometown?
Sure let's speculate they have a function that returns a guessed gps coordinate at time t. Again there are dumb implementations for this. Can take a time decaying and time-of-day/day-of-week weighted mode of your recognized locations. I imagine it'd be fairly accurate.