When is taking a life murder and when is it a medical choice?

There is a lot of disturbing news lately of mothers(and fathers who are statistically slightly more likely to kill there children) killing there babies. Although this sounds appalling to most of us it seems to be a growing pattern.
According to the Bureau of Justice Statistics- Over 500 children are killed each year by a parent. The Las Vegas Sun in an article from 2003 entitled, Young children more likely to be killed by parents than others states that "FBI crime statistics show that in 1999 parents were responsible for 57 percent of murders of children under 5, with family friends or acquaintances accountable for another 30 percent and other family members accounting for 8 percent."
Could a good part of this be linked to the abortion culture? Last week when the Tampa FL. woman(link here) went to have an abortion the baby accidentally came out alive and then was killed and thrown out with the trash. The pro-choicer's claim they are appalled as well but I can't help but think they are more appalled over the fact that the mother happened to see it than they are at the death of the baby. Yesterday the mother, who threw here baby into Lake Pontchartrain in Metairie LA told police that "she didn't want the child and had contemplated an abortion, but her pregnancy was too far along, Caraway said. She hid the pregnancy from her grandmother, with whom she lived.
"She said she was not ready to raise a baby," Caraway said. "She said it was the result of a one-night stand and she did not want it.""
Its easy to convince a pundit that ending the life of a baby in the womb is medical choice but I don't think its translating very well into an ever increasing secular culture.