Here's a tune written by the concertina player William Mullaly (1884 - ca.1955) from Mullingar.I was reminded of it by a recording of the recently departed fantastic musician Charlie Harris. That recording, along with a recording of William Mullaly himself playing it in the extreme olden days, is available here: The Drunraney Lass on "The Session". The tune reminds me of "The Lark on the Strand". I'm not sure whether that Lark's egg came before or after this particular Drunraney chicken.