ag39's list "Names starting with E" of 2 great name ideas: Eoghan - Eimear!

Names starting with E

Names starting with E for both boys and girls, ranging in popularity and style. From classics like Edward to modern names like Everly.

Pronounced like Owen, this was the name of several early Irish kings and saints, as well as a celebrated Ulster hero. Often spelled with two 'n's in Scotland, it has been Anglicized as Ewan, Ewen, Euan, Owen, Hugh, or Eugene.

Eoghan

Popular in Ireland but less familiar elsewhere, Eimear is a mythological choice, which some may see as a fresh alternative to Emma. 
 
In Irish legend, Eimear was the wife of the warrior hero Cuchulainn. She was said to possess the six gifts of womanhood: beauty, voice, speech, wisdom, chastity, and needlework. While the exact meaning of the name is unknown, one suggestion is that it means "swift, quick", from the Irish mear.
 
Pronounced as EE-mer, the name may also be spelled as Emer, and more rarely, Eimer. Other forms are Éimhear (said as EH-ver) and Eimher, the Scottish variant (pronounced AY-veer).