So I'd say that instead of Irish people coming from Spain and Portugal, it would be fairer to say both are Celtic and leave it at that :-)
"...we find that among other famous nations our own, the Scots, has been graced with widespread renown.
They journeyed from Greater Scythia by way of the Tyrrhenian Sea and the Pillars of Hercules, and dwelt for a long course of time in Spain among the most savage tribes, but nowhere could they be subdued by any race, however barbarous.
Thence they came, twelve hundred years after the people of Israel crossed the Red Sea, to their home in the west where they still live today."
[1] http://whc.unesco.org/en/list/989
[2] In Spanish and I am barely conversational so it’s very likely that I missed some important details.