If you look at it from a purely Darwinian POV, then you should always save the child, if it is your child, to ensure that your genes are perpetuated. If the child is not yours, then they are competitors to your own offspring so you should let it die.
Personally I am with GDA on this. I feel that the death of a child is one of the sorriest things that can ever happen and should be prevented if at all possible.
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Behold, I see my father and mother.
I see all my dead relatives seated.
I see my master seated in Paradise and Paradise is beautiful and green; with him are men and boy servants.
He calls me. Take me to him.