All the Irish versions of "Are You There, Moriarity?" are derived from the Irish-American original, published in 1876, with words by Edward Harrigan (of Harrigan and Hart) and music by David Braham.

Several Harrigan songs became popular in Irish music halls, some with new melodies, others with lyrics adaptated to the local scene, such as the transformation of the NY Metropolitan Police to the Dublin Metropolitan Police in "Moriarity."

Jimmy Crowley of Cork sings "Moriarity," and probably recorded it somewhere.

You can view images of the original sheet music on the website of the Lester Levy sheet music collection

http://levysheetmusic.mse.jhu.edu

https://levysheetmusic.mse.jhu.edu/sites/default/files/collection-pdfs/levy-072-002.pdf