No, it really doesn't explain his name, nor his actual position within his clan's family tree. It does clear up the hierarchy well enough, though, and that is good enough for now.

"I'm sorry for the losses your family suffered," she says, a little stiffly. She's never been good with sympathy, never even had the best bedside manner as a doctor. "It's not good when a clan is without a proper patriarch. And now you are here, separated from them..." Her lips pinch together. That is very unfortunate for a clan, indeed. It looks like the Starks don't have much look.

She looks down at her hands, tightens them around her mug. "Someone dear to me had to take charge of his clan at such a young age, too. He seems to have handled it well enough. I'm sure you will, too."