The Alfred Hitchcock Hour (1962)

A convicted bank robber John Perry is sentenced to 15 years hard labor in a state prison lumber camp. Determined to get out, James befriend an alcoholic inmate named Doc. Doc is in charge of the prison infirmary as well as burials for the dead. Doc makes an offer to John: if John will fincance an operation for Doc's granddaughter, he will get him out of prison. Doc's plan is to hide Perry inside the coffin of the next inmate who dies. The coffin will then be buried and dug up after the gravediggers and guards leave. Perry will then make his escape. All goes according to plan, until Doc fails to dig Perry up. Perry then learns why when the shroud slips from the face of the corpse sharing the coffin with him. Its Doc who died of a heart attack the night before.