I'll say it's more slanted in my favour than yours.
An obsessive addiction to an online game, her mothers death, being a single mother and raising a new born baby? She's a high-risk person. Your notion that she did it just cause she liked Farmville a lot doesn't really hold water. Would someone who knew right from wrong shake a baby to death, being aware that a sane person knows the consequences, over something so trivial?
I'm not saying she deserves a free pass. And I'm not saying the poor baby doesn't deserve justice, but the world is not black and white and there is a lot we have to consider. God forbid you ever have a mental breakdown, lose control of your own body and do something you will regret.
While everyone ultimately has to take responsibility with their own actions, wouldn't you hope someone out there is ready to see the full picture, and not just what they see on the news?
Where did you read that she's a single mother and that her mother died? ( Not trying to be a jackass but I've read this story from 3 sources and none mention these points)
And I'll say again. Having a snap or episode is one thing, shaking the baby then fully realizing what you're doing, putting the baby down, then proceeding again is just cold murder.
And having a "mental breakdown" should not lesson her punishment by any means.