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Charles Bennett's onscreen credit reads, "Written and directed by." The film opens and closes with an off-screen narration that introduces and closes the story. A Hollywood Reporter production chart includes Dabbs Greer in the cast, but he was not identifiable in the print viewed. A November 1952 Hollywood Reporter news item contained in the production file on the film in the AMPAS Library reported that the picture would be shot entirely on location in San Francisco. However, Hollywood Reporter production charts indicate that portions were shot at Eagle-Lion Studios in Hollywood, and a viewing of the film suggests that only backgrounds, establishing shots and a few long shots with doubles standing in for the principal actors were actually shot in San Francsico.
No Escape was the first film of Matthugh Productions, a company jointly owned by Matt Freed and Hugh Mackenzie. According to an undated Daily Variety article, circa spring 1953, Matthugh Productions was raising objections to an upcoming Revue Productions "telepic" to be broadcast on The Chevron Theatre. The article stated that the Revue film was also called No Escape, a title that Matthugh had already registered with the MPAA. As noted in the article, television companies were not bound by MPAA regulations for titles of theatrical films, and the issue of duplicate titles for film and television productions was an ongoing problem. According to modern sources, the film No Escape was shown on television under the title City on a Hunt.