I was wondering about this, especially with Discovery seeming to focus much on Klingon houses. Is there some kind of a rule to this in the bibles of the various shows? Because it does not seem to be consistent. Gowron's house was called the House of Gowron, and he himself was called Gowron. The House of Duras was always called that across the centuries, and the various members were addressed as Duras, or in the context of something as Duras sisters. Worf's House, however, was called the House of Mogh, even after Mogh had long passed. Worf himself was never called Mogh, except as "son of," but it was never implied that Mogh was his "last name" for lack of a better term. Further more the lawyer in ST VI was called Worf. P.S. I do believe we will see the House of Mogh in Discovery.