Recent DNA studies show clear links of the Irish with the people of Spain and Portugal. Some people claim Irish kinship with the Basques, but there is the language problem. The Irish, Spanish and Portuguese languages, like almost every other European language, are closely related and have a common Indo-European root. The Basque language is unrelated and quite different to those in the rest of Europe. It has been claimed that they are survivors of the original Palaeolithic people and that the Indo-Europeans colonised Europe later. Other writers insist that the Basques came from Atlantis and that is why their language is so different.

You pays your money and takes your choice.

There's a lot of info on the internet; the following at http://www.cogs.susx.ac.uk/users/larryt/basque.html is quite interesting and just one example from that site is -

Q21. Are there any Basque words in English?

A21. Not many, but there are one or two. One is silhouette, which has a very interesting history. The English word is taken from French, in which it derives from the surname of a certain Etienne de Silhouette, a French politician of the 18th century. This is a French spelling of the Basque surname Zilhueta, a French Basque variant of the surname Zulueta or Zuloeta; this in turn derives from zulo `hole' (zilo in part of the north) plus the very frequent suffix -eta `abundance of'. This surname was doubtless given originally to someone who lived where there were many holes in the ground, or perhaps more likely caves. In Shakespeare's day, there was an English word bilbo for a sword of outstanding quality; this derives from the name of the Basque city of Bilbao (Bilbo in Basque), since the Basque Country was known at the time for its excellent iron and steel goods. The American English word chaparral derives via Spanish from Basque txaparra `scrub'. But the idea that English By jingo! derives from Basque Jinko `God' is probably wrong.