The title of this article is conjectural. Though the topic is found within The Simpsons universe, a proper name is not available.
The Blue-Haired Lawyer, is Springfield's most prominent lawyer known for his pasty face, blue hair, New York accent, and nasal voice.
He was first introduced as one of Mr. Burns' many lawyers. Subsequently, he most commonly appears as the lawyer arguing against the Simpsons whenever they wind up in court. He often makes good points against them and wins over the judge. However, he has attempted to aid the Simpson family at least once. He also occasionally appears to serve as a prosecutor.
He worked for "Luvum & Burnham: Family Law" in one episode, where he had a secretary named Uwa (homophone for "YOU WHA?!?!").
His name is never stated, though it's presumably either Luvum or Burnham, given his law firm's name. In one episode, he reveals himself to be the author of a Sci-Fi novel called "The 60 Foot Baby" and on the cover he is simply credited as "Burns' Lawyer."
Despite being his lawyer, he is, sometimes, intimidated by Burns. An example of this is when Burns begins losing money, he (and Burns' other lawyers) loses his competence and acts as a yes-man out of fear of his wrath, going as far as to encourage Burns into making bad investments that bankrupt him.