I play in a traditional band called Gan-Ainm (it means "nameless", I'm told). Although we mostly play in an Irish pub, the James Joyce in Calgary (Canada, not Scotland), the Northumbrian and Scottish part of our repertoire is predominant, with some Irish and Canadian material as well. Of seven members, four were born in Canada, the others in Yorkshire, Glasgow and Kansas -- none in Ireland. Our collective instrumentation includes Northumbrian pipes, melodeon, concertina, harmonica, flute, whistles, octave mandolin, five-string banjo, guitar, bodhran and stand-up bass. Two of us sing occasionally. We mostly do quasi-sessions (i.e., no stage, no mics, no set list, no rehearsals, but more or less set personnel), with the occasional stage performance (e.g., at the Water Valley Celtic Festival last June).
So there you are, for what it's worth.