I didn't know "Take it Down from the Mast" was by DB, but it would certainly be more "rollicking" than "The Patriot Game". Depending on the viewpoint or narrative of the play, do bear in mind that the opening lines place the sympathies firmly in one camp, at the time of the Civil War:

"Take it down from the Mast, Irish Traitors;
It's the flag we Republicans claim-
It can never belong to Free-Staters,
Ye brought on it nothing but shame."

Isn't the air like "The Red River Valley" with a faster tempo?