Her name?

Green isn’t derived from an English name and is pronounced “grain” or “Greyne”. It doesn’t mean green, which is grön in Swedish. Instead, her last name comes from the Swedish word gren, which means (tree) branch.

Source: Eva Green Fan Website and previous interviews.

Ah-ha! That explains why she always looks so annoyed in interviews. I noticed that it's right after the interviewer says her name. She's gonna stab someone one of these days.

And hopefully she's topless when she does.

I think her original name is supposed to be Gaelle, but she uses "Green"