Originally Posted by Einchy
A part of the reason they were able to overlook him being a bastard is because they believe Ned is his father, and since they love and respect Ned so much, they were able to not give a fuck about the Snow part and make him an honorary Stark. I'm not sure how they would react, but I imagine it would shake their willingness to follow him, if they found out that Ned isn't his father and he is only a Stark via a woman.
You mean a rightful heir due his lineage?
Sansa would be ahead via direct bloodline, but they won't follow her into battle. They'd probably just let it be, as he's a Stark.
Littlefinger? Different story.