Yes, it does work like that. In the Game of Thrones, from all instances that we have seen, Westeros goes by true-born, patriarchal kinship, not by simple marriage. The key word being "patriarchal". All the sons inherit, in order by age, before any daughter inherits. Husbands rule for their wives.

Cersei is Regent of Tommen because she is his mother, Lysa was Regent of Robin because she was his mother. Baelish is not even his next of kin.

Perhaps she sees kings blood in him. I've long suspected that Jon Snow is actually a Targaryen, by his mother. (If you read the books don't say anything, Yea or Nay). It's the only theory I can think of that explains why Ned Stark would never disclosed who Jon's mother was, not even to Robert.

Baelish doesn't have claim to anything either.
As Kumagoro said, he was given Harrenhall, which was under Lannister control at the time. The Riverlands don't belong to Harrenhall.

Stannis is the King, he could probably get Jon out of the Night's watch and use him to reunite the North, he is Ned Stark's son after all. And this would also be bad news for Team Bolton.

I don't think LittleFinger is the Lord Regent (or Lord "anything") of the Vale.

Nobody is sworn to LittleFinger, not in the Vale, not in the Riverlands. Not even the whores in his brothels are sworn to him, they are whores after all, they belong to highest bidder and even then only for a little while (see: Shae and Tyrion Lannister).

Right, and now they perceive it to be with Sansa Stark. That's why everybody keeps holding her hostage.

Normally, in these medieval type stories/histories a marriage that was never consummated can be simple be annulled or deemed to have never happened. It seems to be that way in Westeros.

Normally, the Red Woman eyeballing a young man means that she wants to fuck him, take his blood, and then kill him, doesn't it.

Well, he does have one wrist….one wrist. It just happens to be on wrong arm.

Y'all don't remember the Riders of Rohan and how they looked in battle. The Riders of Rohan were like a tidal wave that crashed over their enemies with force and left nothing in it's wake.

But he may hide Tyrion for a while if Tyrion needs it.

I can go along with that. There have been 8 or 9 times now in the Game of Thrones that I have found myself saying, "People don't behave like this, a person would not do this."

Right, at the time Roose thought he knew that all the Stark kids were dead besides Jon Snow and Sansa.

Baelish isn't in control of jack but his brothels. But he is a very good character though.

I don't think that Bolton's rule is all that solid. Ned Stark has 3 sons, and two daughters living, and the Starks have ruled the North for 1,000's of years.

That, my dear, I agree with. We need at least 13 episodes per year. And they should probably give the to use every other week. The 10 month lay-off kills me.

When Loras told Renly that he had to be Margaery because brides are not normally virgins two weeks after their weding night, Renly replied sarcasticly, "And Margaery's a virgin?" Loras the replied, "Officially".

All the people in Westeros are more loyal their house and great house than they are to the Iron Throne. I.e., A person from the North will obey Lord Stark over the orders of King Baratheon. A Karstark from will obey the orders of lord Karstark over the orders of lord Stark.