User blog comment:Gcheung28/Game of Thrones Season 3 Predictions/@comment-6735528-20130320223723/@comment-5520805-20130321134454

Actually, there are no clear cut answers when it comes to bastards' right. Apparently a bastard can inherit if the father has no other trueborn children nor any other likely kin to follow him.

http://www.westeros.org/Citadel/SSM/Entry/The_Hornwood_Inheritance_and_the_Whents http://awoiaf.westeros.org/index.php/Bastardy