"Cath Chéim an Fhiaidh" as published in "Amhraín na nGleann" is the same as "Cath Chéim an Fhiath" as posted at http://www.sleeping-giant.ie/inchigeelagh/stories/thefulltext.html . The book attributes the lines to Máire Bhuidhe Ní Laoghaire. Máire was from Céim an Fhéith, Co Cork and you can find some biographical details of her via the above URL (clickable link is on my previous message). Of big red Aoghan of Ulster I still know nothing.