Help me solve this mystery! Please!?

In our backyard there are two nests with eggs in them. the eggs are sort of greenish speckled. Today I went in the backyard and three eggs had been taken out of the nest by the bird and set in a row on the retaining wall. I know the bird do it because on each egg there are two puncture wholes as if the mother grabbed the eggs and set them out. One of the eggs was split in two so I looked inside and there was a baby bird inside, dead. It wasn't fully developed, but I could still tell. I have two questions: 1) Why would the mother do this? 2) is there anyway I can save the other two babies? Like I said there are small puncture holes in them though. If I can try to save them, what do I do?? Thank you!!