What's in a Name?

Marina provided the following info on the possible origin of the family name:

Irish: Anglicized form of Gaelic Ó hEidhin ‘descendant of Eidhin’, a personal name or byname of uncertain origin. It may be a derivative of eidhean ‘ivy’, or it may represent an altered form of the place name Aidhne. The principal family of this name is descended from Guaire of Aidhne, King of Connacht. From the 7th century for over a thousand years they were chiefs of a territory in County Galway.

Got more info, or want to propose an alternate theory?  We know people in this clan just *hate* to debate, but don't be shy.  Let us know (click on the comments link just below to add your ideas).