Information on what the term 'Black Irish' means, and how it may apply to our family: 
http://en.wikipedia.org/wiki/Black_Irish
 
Everyone should know that West Irish are now thought to have less Celtic blood than their natives on the East. What that means is, we be able to trace our lineage a bit further back than Ireland.

New genetic research does show a strong similarity between the Y chromosome of Basque males and Irish males with Gaelic surnames,[2] with a notable difference between the west of Ireland and the east of Ireland, in that those in the west of Ireland have less input from Anglo Saxon and Scandinavian populations. These would have been Celtic-speaking peoples with Celtic surnames - likely Basques of the Iberian Penninsula who would have stopped migrating to Ireland in the 5th Century B.C. 
 
It is not believed that they were the descendants of the Spanish Armada from 1588. However, this myth survives in the county Galway, which is known to have slaughtered a few Spaniards as well as protected them.
 
In regards to the social attitudes of the Irish in the following XVIIth century, foreign travellers stated that: "The Irish are fond of strangers; they love Spaniards, French and other foreigners, but the English and Scots are their irreconcilable enemies;"(32) "The native Irish are a very loving people to each other though constantly false to strangers, the Spaniards only excepted."
 
http://en.wikipedia.org/wiki/Basque_people#Etymology_of_the_word_Basque
 
The origin of the Basque people is shrouded in mystery. Whatever their origins, it is widely believed that the Basques have occupied a single region of Europe longer than any other identifiable ethnic group.
 
Investigations of Basque blood types have found that there are more Basques with type O blood than in the general European population.
 
http://thescotsman.scotsman.com/scotland.cfm?id=1064152004/
 
http://en.wikipedia.org/wiki/Gaels#Mythological_origin
 
Lebor Gabála Érenn (The Book of the Taking of Ireland)
http://en.wikipedia.org/wiki/Lebor_Gab%C3%A1la_%C3%89renn
 
Milesians
http://en.wikipedia.org/wiki/Milesians_%28Irish%29