I was surprised to come across this recording of Jeff Beck and company playing "Mná na hÉireann" (Irish Gaelic, "women of Ireland")

maybe this tune was chosen/known about because Kate Bush recorded the song?

Here Jeff Beck backs Sharon Corr on Mná na hÉireann (the other musicians are not credited)

The tune was composed by Seán Ó Riada, who did classical arrangements of Irish traditional music (incorporating instruments such as the uilleann pipes and the bodhrán), and founded Ceoltóirí Chualann, the forerunner of The Chieftains band. The Mná na hÉireann lyrics were written by 18th century poet Peadar ó Doirnín. Here is an accoustic rendition of the song Seosaimhín Ní Bheaglaioch and Steve Cooney