So, this answer isn't exactly touchy feely, but it's a way to cope. First, if you do your job correctly, you are are not "losing their child." I would imagine that if you were somehow responsible, the burden of this would truly be hard to deal with, and I have known a few people who left their profession as a result. It is inevitable that you will care for a mom and family who do lose their child. Mainly what they need is your kind supportive presence and all questions answered as honestly as possible. Sometimes I cry too, and it's ok. But it gets easier the more times you do it.