She is in court asking for a DNA test because Eddie isn't volunteering to do one.
Personally I think Melanie Brown got royally screwed by Murphy. It reminds me so much of Elizabeth Hurley's situation with her son when the guy had two paternity tests going at the same time for two different babies, he claimed he and Hurley "weren't exclusive," which was news to her, and both kids turned out to be his. A woman wouldn't go this far unless she knew who the child's father was.