What is a legal document containing vital statistics for the deceased?

A death certificate is the correct answer because it serves as an official legal document that records essential information about the deceased individual. This document typically includes vital statistics such as the person's full name, date of birth, date of death, place of death, and cause of death. It is a crucial document used for various legal purposes, including settling the deceased’s estate, notifying government agencies, and facilitating the disposition of the body.

The other options, while related to the process of handling remains, do not serve as comprehensive legal documents containing vital statistics. A burial-transit permit is specifically used to authorize the transport of a body for burial and does not typically encompass all vital statistics about the deceased. A cremation permit is a document required to proceed with the cremation of remains and focuses on the permissions needed rather than essential statistics. Priestly lines are not a recognized legal document related to vital statistics of the deceased.