The extra n makes it feel less like an feminization of Alan and more like a name unto itself. Alanna is more common in Puerto Rico than the original Alana.

Alanna

A multicultural mini name with roots in three continents.
 
Anu is also Celtic goddess considered the mother of the gods of Ireland. In parts of Britain, the goddess is referred to as "Gentle Annie".

Aoise

Beatha

Betha

Caoimhe, pronounced (more properly) kwee-va or kee-va, is a pretty and distinctive Gaelic name but one that could well lead to no end of confusion outside the Irish community. Even in its native habitat, it is sometimes spelled Keeva.
 Caoimhe comes from a word with several positive meanings--beautiful, precious, beloved, gentle, and graceful. It's also the name of an Irish saint.
 Caoihme has been very popular in Ireland in recent years.

Caoimhe

This sprightly Irish mythology name would make an attention-grabbing choice. 

Danu

Though Dara was an (extremely wise) male figure in the Bible, this name feels mostly feminine to modern Americans. The Irish Gaelic version, Darragh, is well-used in contemporary times for boys.
 While Dara dropped out of the Top 1000 a couple of decades ago, it's one of those magic names that feels neither fashionable nor unfashionable. This timeless quality can be an advantage for a child over time. And Dara has the cross-cultural thing going for it as well. It's also a Slavic name, meaning "gift".
 The cousin-name Daria was featured a few seasons ago as the smart and cynical star of her own eponymous animated MTV show.

Dara

Doireann

Eanain

Eilbhe

Fia may be most notable at this moment as the Anglicized version of the Irish Fiadh, one of the fastest-rising names in the Republic of Ireland. The meaning of Fia or Fiadh is sometimes given as "deer" but that's in the sense of a wild deer, as the name relates to the ancient word for wild. 

In Portuguese, Fia means weaver, and Fia may also be a short form of the Italian or Spanish Sofia or Fiammetta or any other fia-related name.

Whatever its origin and meaning, Fia is a light and pleasant alternative to the mega-popular Mia.

Lila is one of the <a href="https://nameberry.com/girls-names">girl names</a> with a double l sound — Lila, Lola, Layla, Leila, Lily et al — that have caught on in a major way., Delicate yet dynamic, Lila has a slightly international flair.
 
The one caveat, and you may consider it a big: As a group, the La-La names have gotten so stylish so quickly that they're verging on full-blown trendiness and tend to blend into one another. So while there may not be another little girl named Lila in town, between those named Lillian, Lily, Layla, and so on, you may feel there's a double L overload.
 
Lila was derived from the Arabic word laylah, meaning "night." It has separate roots in Sanskrit with the meaning "play." In Hinduism, Lila is a conceptualism of the universe as a playground of the gods. Lilah and Lyla are variant spellings. 
Lila has been a recent hot TV character name, seen on such shows asDamages and Dexter, as well as Friday Night Lights, where the name is spelled Lyla—another trendy version.
 Trivia tidbit: Diane Sawyer was born Lila Diane.

Lila

Lasairiona

Liadain

Luisne

Muirne

Nora is a lovely, refined name that conjures up images of Belle Epoch ladies in fur-trimmed coats skating in Central Park. Long seen as a quintessentially Irish name though its roots are not in Ireland, Nora is a quietly stylish favorite that's tiptoed to the top of the popularity ladder.
 
Nora has two separate origin stories, as a derivative of both Honora and Eleanor. The Irish and Anglo-Norman version derives from Honora, based on the Latin word honor. The Hungarians spawned Nora as a short form of Eleonora, a variation of Eleanor.
 One of Nora's most prominent contemporary namesakes is the late witty writer Nora Ephron. Other notable Noras are the independent Ibsen heroine of A Doll's House, and the female half of the witty Nick and Nora Charles duo, adding up to a most desirable choice. 
 It can also be spelled Norah, as in Norah Jones.

Nora

Neasa

Róise

Saorla

Siofra

Treasa

afraic

This name of a mythical beauty transformed into a scarlet fly by a jealous wife is popular in its native land; here, while pleasant to the ear, it's bewildering on paper. 

Étaoin

murp's list "irish girls names" of 25 great name ideas: Alanna - Étaoin!