No one would dare say that Eddard Stark was a man without honor. They would never have any hope of substantiating that claim unless they put aside their own honor and spun a tale of lies. While he did not particularly like the idea of Stannis sitting on the Iron Throne, he knew that the line of succession fell to him. That was where it must go, even if Renly was more well liked among the kingdom. The only true comfort it gave him was that Joffrey would not be on the throne and, should he arrive, would find himself without the protection of his title. Eddard found he liked that idea a great deal. The one potential wrinkle was Daenerys Targaryen.
He had promised to keep her safe to the best of his ability and he would do that without pause. It was her fiery nature that worried him. Would he get burned? Thankfully, he had a thick hide, one that wasn't too affronted by a slap in the face. Still, her impulsiveness and inclination to fight had him wondering just when he'd have to come to her rescue. To be on fairly good terms with Stannis Baratheon would be useful if she ever ignored his advice.
Ned and Robb had crossed into King's Landing with his key and went straight to the docks where Ned had arranged for a ship to take them to Storm's End. The trip took a few hours so he and his son ate and talked. Despite where they were headed, it was a very pleasant conversation and Ned was thankful once more that he'd been given this chance. It would not be wasted. When they arrived, they were greeted by a number of men. It wasn't surprising to Eddard, but as they were escorted up to where Stannis had requested they be brought, he let his eyes wander. The size and shape of the men, the number of men he could see, how well armed, fed, and trained they might be, and how the defense of Storm's End would hold up against an attack.
Once glance at Robb indicated that Ned thought the man had done well. Whenever this battle was fought, it would be a hard, bloody one.