According to Voyageurs to the West by Bernard Bailyn (New York: Alfred A. Knopf, 1986) pp. 110-111, every side of the Irish Sea contributed bloodlines. It was an ongoing process, especially Northern Ireland and Western Scotland (well supplied with English/Welsh emigrants back and forth over the boundary lines). There was a constant exchange. Add these terms to your checklist of peoples:
__Anglo-Scottish
__Ulster Irish
__Northern Irish
__Anglo-Irish
__Saxon-Scots
__North Britons
__Anglo-Welsh
__Ulster Protestants (non-Presbyterian)
__Ulster-Scots
__Norman French
__Celtic Irish
__Gaelic Irish
__Scottish Highlanders (contrary to popular and historical commentaries)
__and even Cornish Miners
__Vikings (10th c.)
__German Saxons (6th c.)
__Romans (1st c.)
__Brigantes (bef 80 AD)
The Irish Sea became a unified cultural region because of the constant ebb and flow of the population across that sea. And the Scots-Irish came from that cultural region. Your favorite genealogist, Arlene Eakle http://arleneeakle.com
PS Stay tuned–I am searching for a map showing the exact areas around the Irish Sea. You won’t want to miss it.