The version here is from East Galway flute player Sean Moloney’s solo album. Slightly different, but it’s basically the same as what the Corrs play. I suspect the title "Mick’s Delight" is provisional since Sean Moloney informs he learnt it from Mick Clancy, a musician from Co. Leitrim.
A dorian jigs all sounds very similar, but this is different from Lilting Banshee, Ten-penny Bit, Mist-Covered Mountain, or all the other well-known Irish jigs in the particular key. To me, it sounds more like an old Scottish pipe jig / march, and in fact it reminds me of "Over the Hills," or the Irish version of Scottish jig / march called "Hills of Glenorchy": https://thesession.org/tunes/842#comment77312