The case under discussion wasn’t a cementary. It was a field. Whatever I find in my field is my property.
It was a grave. The body was in a casket. Her final resting place. She’s not a toy.
Not if you live in England & Wales. The Treasure Act of 1996 defines what must be done if you believe you have discovered "treasure."
Here's a link that gives info on it if anyone is interested:
If someone discovers what can be deemed as "treasure," and they don't report it, they can be fined up to $5,000 pounds ($10,306.50 US). They take their heritage very seriously in England.