Could you provide more context? Here are some possibilities:
* The stage play "Old Mother Riley": The character was created by playwright Arthur Macrae and was first played by Arthur Lucan (real name Arthur Stanley Lucan) on stage in 1937.
* The film series "Old Mother Riley": The character was played by Arthur Lucan in a series of British films from 1938 to 1952.
* The radio series "Old Mother Riley": Arthur Lucan also played the character on radio, starting in 1939.
* Later adaptations: There have been other actors who played Old Mother Riley in later adaptations, such as Leslie Crowther in the 1970s TV series "The New Old Mother Riley."
Please clarify which version of Old Mother Riley you are interested in, and I can give you a more specific answer.