Emos are not gothic, and goths are not emo. They both sprang from the punk subculture, and they both wear a lot of black, but that's where the similarities end.
A person who wears a lot of black and is very emotional may listen to emo/goth/punk bands. Tends to be a social outcast often vegetarian. Kind of dork in a lovable way the friends they do have like them a lot
This is a term used by Top-40 pop kids who talk like preps, act like preps, and listen to a lot of prep music, even though they spend a lot of their time crying and writing the most irritating poetry ever while listening to music that can be found on Disney Radio. Hot Topic caters to the fuckheads who use this term first and foremost. By the way, Hot Topic is owned by Disney. What a coincidence.
Crystal casually said, "Well, I'm a Gothic emo and I love darkness and freaks." She is now a married Christian mom only a year later, and probably still listens to A Simple Plan and Disturbed. She probably still talks like a Valley Girl: "Omigod, I love cute little kitty cats, like, omigod!"
Someone who wears the emo style (hoodies, tight pants, eyeliner yadda yadda..) and listens to emo music (Fall Out Boy, 30 Seconds To Mars, Hawthrone Heights ect.) but has more of a gothic personality. (is able to not care about all the fuss, has a good friend, opens up to them, but is cold to other people)