S., I hope that by now you know everything is okay. There are many variables at play with meat - how old it was when you bought it, how long it was out of the frig in the kitchen, how hot it is in the kitchen, and how long the kids had it outside. What kind of sandwich meat it is too (salty meat might last longer).
The stronger a person's consitution is, the better they can handle it. People in India get used to this kind of stuff and can eat it. I have friends from India who live outside of the country, and when they come back home to visit for a while, go ahead and eat at one of the little outdoor kiosks so they'll just go ahead and get "Delhi belly" and get their bodies back to being used it. Sounds awful, I know (I've had Delhi belly and it ain't fun!!) but strong constitutions can handle a lot, if it's not E coli or salmonella, etc.
Let us know in a couple of days how she is, okay?!