A young couple is expecting a baby sometime in the Spring. Sure enough, April 1 comes around and the woman is in labor. They head to the hospital and into the delivery room. As the baby comes out, the doctor grabs it and flings it against the wall. Then the doctor picks the baby up by his feet and bangs the baby on the floor several times. The man looks at the doctor and says "What the ****!?!??! What are you doing?" The doctor says "April fools!!! Your baby was already dead."
Someone once told me this, and this it's even more tasteless. In fact, I truly think it must be the most tasteless joke in the history of the world... q: What's 12 inches long and makes women cry all night long? A: Crib death.
It seems to harken back to those dead baby jokes I heard in middle schoo and high school in the mid '90's. I think they're all terrible.