Here's three:
With their Irish meanings
Hannah - Splender, radience, brilliance
Radha - A Vision
Teagan - Beautiful

like the red hot sun!

Oh, I'm sorry...there is already one of those...and she is incomparable.

maybe Annie -- as in little orphan....

If she has pig tails, or Sonja.....Red Sonja from the Conan the Barbarian book series

My high sweet heart was a red head and her name was "Christy"
So you have the name I like.

RED

eom

Flame  (I also like Gretchen...don't know why...but I like it!!)

We have a red hot Marisa a year ago but she retired so if your lady is as hot as her then use Marisa.

Picard was too much of a sissy ass homo for a hot redhead like Beverly.. That bratty ass kid Wesley needed a good punch in the face too... LOL!!!

Very unique! Great choice!

Does the one who offers the eventual chosen name get a free session with his newly-named redhead?  

With all hope, I offer......Laurel!

While most of the suggestions have been good, I have always been fond of Elle (pronounced "L"). I, too, have a "thing" for redheads. Who knows? I may win the prize!!  

Jim

There was never a hotter red head than Maureen O'Hara, an Irish actress in the30's, 40's  50's, 60's and on until early 2000's. Gorgeous, classy, feisty and incredibly seductive and sexy! She played with everybody famous in her era from John Wayne to Jimmy Stewart.  Played in many familiar movies such as It's a Beautiful Life, The Parent Trap, McClintock and the best version of The Hunchback of Notre Dame ever made. I tried to find a pic but I couldn't get it to take the url cause the one I wanted to use was in the wrong format.  Maybe one of the more tech savy gents ot ladies can post one.
Pheonix

Depends on what her personality is:

Sedona - (one of my most favorite retreat sites in northern arizona).  If she has a calming/romantic personality

Yosemite Sam (my favorite Warner Brother side character) if she is a rooten, tooten, pistol of a gal

http://maureen-ohara.com/galleries/maureen_o'hara_5.htm

she was probably in her 40's or 50's here.

EOM

EOM

Hmmmmm Maybe that's why Picard wouldn't move on Beverly Crusher when she practically fell into his arms time and again.. After his experience being connected to the Borg as Locutus he was interconnected with 7 of 9!!!!!!!! LOL!!!!

Is this a nerd post or what?

Tasha Yar a woman who was probably a hot fuck even with that boyish haircut?  Or does Jeri Ryan as 7 of 9 take the title as best star trek babe (definitely best borg babe).

Sigh, memories of my junior year of college girlfriend, [Name Withheld] The Crazy Redhead.

Actually, so did I!  She was a tall thin Irish redhead from my teen years, and I still think about her to this day!

Jeri Ryan all the way!!!!!

Well played with Sedona a marvelous place.

We've already got several Scarlett's that I know of in the immediate area, but it is a great name!  LOL

How about LOLITA!

from one red head to another...