The Alfred Hitchcock Hour - Final Escape
Broadcast on 21/Feb/1964

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