If you throw me out of the window I'll leave a grieving wife

Question: If you throw me out of the window,
I'll leave a grieving wife.
Bring me back, but through a door,
You'll see someone giving life.

What am I?

Question: What does everyone always overlook?

Question: What do you get when you cross a cheetah and a burger?

Question: What tastes better than it smells?

Question: What goes in the water black and comes out red?

Question: What loses its head in the morning and gets it back at night?