Favorite Female vocals that give you goose bumps

Anyone who really means what she sings.

A few come to mind...

Emmylou Harris - Boulder to Birmingham...arguably the best love song ever written because it is real.
Tori Amos - Little Earthquakes...she is crazy, though.
Sinead O'Connor - the traditional Irish stuff...she is an overlooked talent who is truly Irish to the core.
Poe - the female F. Scott Fitzgerald of our times...she is intense and utterly brilliant.
Aimee Mann - Lost in Space...You hear; you know.

Sorry, missed that Gawdbless. Tori Amos is a favorite of mine too, Mosin - there's a cut off her, "Strange Little Girls" titled, "97 Bonnie and Clyde" that's kind of hot-miked, and largely whispered...definitely goosebump rendering and really creepy...but I love it!

Jax2,
Cecilia does have a voice that would bring a tear to a glass eye.
A few less well known to the masses,

Emilie Autumn
Gitane Demone
Diamanda Gallas
Danielle Dax
Tina Root (Switchblade Symphony)
Monica Richards (Faith & the Muse)
Kim Richey
Lisa Loeb

Regarding classical performers. It seems like those recordings are not recorded the same way, with as much care, with a good mic. I don't listen to much classical for that reason.

Many of my favorites are already listed like Rickie Lee Jones and Karen Carpenter. Forgive me if I missed it, but I'm surprised Eva Cassidy wasn't mentioned yet. Another singer IMO worth checking out is Shawn Colvin. I'm not too hip to the classical female singers but out the ones I am familiar with I'd have to give Renee Fleming and Anna Netrebko a nod.

Enjoy,
Tom