Tami Green, 33, was asleep at her house in Chalice Close, Basildon, with her two children, aged seven and five, when the incident happened.
She was woken shortly after midnight on Sunday by the sound of glass smashing downstairs and found the rotting head on the living room floor.
Essex Police said it was a "vile and distressing" attack on the family.
Mrs Green's husband Wayne said: "It must have been premeditated. You don't just find pigs' heads lying around in the street.
"It's bizarre. I can't figure out what's going on. We've got no enemies. I keep thinking that it must be a case of mistaken identity."
^ Back to top | BBC Sport Home | BBC Homepage | Contact us | Help | ©