A natural continuation for Liberty is Freedom, not Order, when we look at it from the logical point of view.
They are just names. Gameplay wise, Liberty is for making fast expanding wide empire, which Order enhances, while Tradition is superior in making small but Tall empires, which Freedom then work off with specialists. If Washington makes to Idustrial (his expansion spam seems to piss every Civ around and he get picked off often earlier) he seems to take Order more often. I also seen Gandhi the Terrible so that's that...