For a boy I’d go with Jack Cuchulainn (although with just the first and the last name that’s a bit close to someone who used to play Tarzan a long time ago, but who remembers that anymore?) and for a girl I’d go with Shannon Eileen.
I don’t know anyone called Cúchulainn. I like the name Setanta though and I know at least one Finn McCool/Fionn MacCumhaill.
For girls I like Magdaline, Sophia, Rose, Josephine, and Evelyn.
For boys I like Malachi, Ezra, Joseph, and Jedadiah.
When I was pregnant I was positive I was going to have a boy. The name Malachi Robert was selected and that was that.
Until she was born. She was not a Maggie or a Sophia. I named her Cassadie Rose, and she goes by Sadie (except for in 4th grade when she wanted to go by Cassie - when someone would say her name she’d forget that was what she went by and ignored them - including her teacher. Oops)
In our family the name Joseph/Josef and Josephine/Josefina goes back generations. Her generation is the first without one, much to my moms dismay.
Boy names:
Connor
Alexander
Max (-imilian or -well, as long as he can go by “Max”)
Derek (or Deke)
Jacob
Girl names:
Diana
Leah
Rachel
Gwendolyn
Amara
Boys:
Micah
Holden
Levi
Elliot
Jonas
Sinclair
Asher
Tristan
Eli
Girls:
Iris
Matilda
Simone
Juliet
Beatrix
Cleo
Jordana
Tabitha
Bronwen
Jocelyn
Jane
Annemarie
If my husband and I had a baby tomorrow, the name would probably be Holden or Simone, though my first choices would be Micah and Matilda (Tilly). He thinks Micah is a girls’ name. 
Pretty much any of the variants on Alexander / Alexandra are great names. Alex is a little over used and Xander is a bit trendy. I like ‘x’ names.
First four (female) that came to mind:
Lisa
Jennifer
Valerie
Kendra
I’d have to think about favorite male names.
And I like the name Finn/Fionn, but over here I’d be afraid people would think it’s a Mark Twain thing. I’ve never heard anyone called Cúchulainn either, but that’s why it’d be the middle name.
I narrowed it down. For a boy, David; for a girl, Catherine (with a C!) Even if Catherine weren’t already a family name, I probably wouldn’t use it for fear someone might think it was spelled with a K.
I like weird names too, but wouldn’t actually hang them on a kid. I considered naming my daughter Misery (and considering her personality, I could ha…oh never mind.) 
Girl:
Georgia-I loved this name when I was pregnant, but hubby said what if she ends up working for Coca Cola and has to live in Atlanta? So, I thought of ----->
Cecily-unique, but not crazy and “Cecil” is a family name. Hubby didn’t even have words to describe how much he hated it. So then I came up with ----->
Dixie-I lobbied hard for this one until the day she was born, but was ultimately vetoed. So we went with ----->
Audrey-pretty and feminine, just like our girl.
Boy:
Beau
Simon
I knew girls in high school named Arden, Jonah, Treasure, Shalom, and Friday. I love all of those names.
In Spanish, I love the name Aimée, pronounced (ay-MEH). I hate that in English it’s pronounced Amy. I also love *Gael *(gah-ELLE), and hate its pronunciation in English (Gayle).
(My stepson is named Simon!)
For girls, I like Bianca and Tayler, specifically spelled that way. I also like the name Bristol for a girl but I think I’m the only one that thinks of that as a name for a girl. 
For boys, I really like A names for some reason. Alistair, Aloysius, Asher are all favorites. Arturo too.
Fiona.
I hope I never meet anyone with that name, because right now my association with it is from this cute, little girl in an Irish movie, along with the amazing sexiness of Fiona Apple.
Any move from there would just be downwards.
Clearly my tastes in names are a bit out of step with my fellow Dopers; I’m a traditionalist, I guess. We named our three sons John (after his grandfather), Ethan (good Vermont connection; my wife’s from there) and Thomas (there were some Thomases back in the day on my side of the family, but really we named him that just because we like the name). I’ve also always been partial to the names Edward, James, Joshua (but it’s too trendy now), Jeremy and Lawrence. My own first name is William, which I like.
For girls’ names, had we had the opportunity to use them: Emma, Meredith, Eleanor, or Elizabeth.
Tolkien had a knack for coining names, although I’d never saddle a kid with one today. For boys: Elendil, Earendil, Aragorn, Beren, Cirdan, Eomer, Theoden, Mithrandir, and Thorin (I actually know a guy named Thorin!). For girls: Miriel, Gilraen, Celebrian, Telperien, and Galadriel.
Girl - Anastasia, Siobhan.
Boy - Jack, Benjamin.
My daughter is named Anastasia and my son is named Jack(ster).
Galatea, Papado, Sonrisa, Emil, Emily, Indigo, Matthias, Michael, Zephyr, Vergil, Voltaire, Anna, Joshua, Sphinna, Elegia, Echalon, Orpheus, Icarus, Gaia, Satori, Scheherazade, Verdant, Glyph, Geo, Chiaroscuro, Ananda, Bhakti, Dharma, Qualia, Atlan, Momo, Bastian, Atreyu, Zuvuya, Jonathon, Jack, Dithyramb, Serendipity, Eunoia
I also tend to like a lot of Spanish names
Boys: Algernon, Edmund, Owen, Reginald
Girls: Tatiana, Winifred, Michelle, Heather
For guys - Oliver, Dimitri, Nathan, and Jared/Jake/Jeremy/Jason/James - pretty much any name that starts with a J.
For girls - I love Marie or Maria, and Lily.
I named my daughter Annabel because I thought it was such a beautiful name. I get a lot of compliments on it… but I also have the odd person tell me it’s a cow’s name. Don’t care though… the cow they’re probably thinking of is actually Claribell, and it doesn’t bother me if someone doesn’t like it. Chances are I’ll hate their kid’s name(s) too.
The other girls names I liked were Eloise, Alice, Annalise, Annika, Jocelyn, Johanna, Elizabeth, Isobel. There’s a lot of samey-ness to the names I like, I have to admit it.
The boys name I love most is Thomas but I’m not keen on how it sounds paired with my surname. I love William, but there’s a popular fictional character with the combination of Will and my surname. James was my leading contender if my daughter had been a son, and Alexander was a dark horse in the name race.
A name I think is cool but would never use for a human is Dante. I met a small D’Artagnan once and I simultaneously thought his name was a satisfying word to say, and a hell of a thing to saddle a small Australian child with.
Well, I guess we have to get married now. I’ve been talking about naming my potential daughters Nemesis and Nike for years, while my friends just shake their heads in consternation.