At first, the band was known as the Friar's Society Orchestra after obtaining a gig at Friar's Inn, but changed their name to the New Orleans Rhythm Kings after their residency ended. Mare is credited with co-writing several of their best known songs including "Tin Roof Blues" in 1923. He also co-wrote the music to "Make Love to Me" for the group and which was a million-seller when revived by Jo Stafford in 1954. The band also recorded with pianist Jelly Roll Morton on piano thus becoming the first multi-racial jazz band to record.
Stitzel cowrote "Doodle Doo Doo" with Art Kassel in 1924. He also wrote the music for "The Chant" in 1926 after the Rhythm Kings broke up in 1925.