the foundation is as you know is a stone wall, but if you look at the floor before covering it with tile you will see a dirt floor. which is basically a construction process for those that do not know called rammmed earth,
the rafters are obvioulsy timber framing, (not the easiest thing in the world) but not impossible.
the walls are made from what is called Cob, water clay and straw, an old world technique and if done right can last longer then a modern home. (if I'm not mistaken I believe there is still one standing in england from the 16th century.) another way to build the walls is with the afore mentioned rammed earth, (which would not be any fun) or with cord wood construction, which is what I would choose. cord wood is basically the same as building a stone wall only your using cords of wood, (fire wood)
and for those of you who would rather build a Morrowind style house, then you might want to check out the Earth bag construction method, you can get some craze awsome shapes with that method.
oh and there is one more method that would work on the hearthfire home, straw bale which is kindof like building with legos....kind of.