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The Nightwatchman was a six part series of stories by W. W. Jacobs, adapted by Donal Giltinan, and produced by Peter Dews at the BBC Gosta Green studios. It starred Wally Patch as Bill, the Nightwatchman, and Marjorie Rhodes as Mrs Gibbs. The series was transmitted in January and February 1959.
Here is the list of participants, from the Radio Times entry:
Author: W.W. Jacobs
Adapter: Donal Giltinan
Producer: Peter Dews
Music for the concertina composed and played by: Alfred Edwards
Designer: Stewart Marshall
Director: Terence Dudley
Bill: Wally Patch
Joe Gibbs: Victor Platt
George Brown: Hal Osmond
Bob Kidd: Douglas Ives
Landlord: Norman Pierce
Mrs Atkins: Hilda Barry
Mrs Joe Gibbs: Marjorie Rhodes
Mrs Briggs: Vi Stevens
First Customer: Charles Lamb
Second Customer: Anthony Sagar
Docker: Frank Sieman
Police Constable: Stanley Beard