Can You Change your Full Name on an @me.com account?

Hi, when I send an email my full christen name is being given. It's a name I never use and I would like to change it to the name I do use. I have tried changing one name for another everywhere I can find but to no avail ~ when I send an email it still says "From: my full name not the abbreviated version.

Someone has told me that as my email is @me.com not @iCloud I'm not going to be able to change it ~ does anyone know if that is the caee?

Many thanks,

Jude (not Judith)

PS sorry if this is in the wrong place