Mercantile Advertiser (NYC), Oct. 2, 1801:

"Just published, the following new SONGS, viz.--Erin Go Bragh...Sweet Gentle Nymphs--While Strephon thus you teaze me...Bonaparte's March."

Which "Erin Go Bragh" (and "Bonaparte's March") is being advertised is hard to say.

But I doubt it's anything like the "Duncan Campbell" version!