Like Branching Out, Next Market Day is a mixture of vocal and instrumental music, but focuses more on ballads than drinking songs. The track list includes:

Swallowtail
She Moved Through the Fair
The Maltese Bransle/A La Mode De France
Flowers of Edinburgh
Next Market Day
King of the Fairies/Rights of Man
Oro Se Do Bhaithe Bhaile
Planxty Fanny Power
Jack Haggerty
Twa Corbies
The Black Nag
Lark in the Morning
The Minstrel Boy/Scotland the Brave
Off She Goes/Sailors' Hornpipe
The Mermaid