Prior to settling in New York City as a teacher of music and organist at Calvary Church, he played at churches in Hartford, Connecticut, including Center Church and St. John's Episcopal Church in the adjacent city of West Hartford, Connecticut. Greatorex frequently sang in concerts and oratorios. For some years he was organist and conductor of the choir at St. Paul's chapel.
Before settling in New York City to teach music and play organ at Calvary Church, he had a career playing at churches in Hartford, Connecticut, including Center Church and St. John's Episcopal Church in West Hartford. Greatorex frequently performed in concerts and oratorios. He also served as organist and conductor of the choir at St. Paul's chapel for several years.