I would check on the child and try to comfort them. I would quietly wake the parent and explain that the child had been upset. I would offer to come in again if they needed me to. I don't know the home situation and I'm sure the parent is needing rest as much as the child is.
I'm a recent college graduate as of December 2015, I'm a recent divorcee, and I only just moved to Tennessee in January. I've got no roots set in where I'm living. I've just been through a lot of changes in my life, what's one more change? I'm from New York originally so the weather is nothing I've never experienced before in my life. So I thought to myself at the time, "All of those things considered together, why not take the risk? What's stopping me?"