Also, funny that people get upset about that, considering plenty of people think the author didn't want to put a romance in the book at all, and put a deliberately disappointing romance for Jo in because she was forced to marry her to someone. We all know Jo was definitely a lesbian.
So Ship = Shipping = Relationship, which basically means deciding you want two people together romantically in a work of fiction. Fanfiction is what it sounds like. Fiction, written by fans to address canon, whether to expand on it or alter it. Trolling is being a dick on line.