Hound's She-Wolf 2

Or lack of living men to work.

I have always wanted Tyrion to be Tywin's legit child and Cersei and Jaime to be the Mad King's, that way Jaime is a King and a kinslayer.

Doesn't he have a sister? She has a stronger claim to be Lady of Hornhill than he does for Lord at this point, unless a king/queen releases him from his Nightwatch oarth.