Calling all structural engineers!

I would like to posit a question to all whom would accept the query...

Let's say there is a house. It is a wood frame house built in 1927 or so on a conventional foundation with a brick facade on a seperate footing. It also has a brick fireplace on its own slab. The house is built on Yazoo clay, or (The Yazoo Formation of the Tertiary Jackson Group (informally know as the Yazoo Clay) is a calcareous fossiliferous mudrock that outcrops in a northwest-southeast belt across much of Mississippi and in adjacent states. The Yazoo was deposited in a nearshore marine environment and is the formation from which the primitive whale Basilosaurus, the Mississippi state fossil, was collected. Based on over 240 XRD analyses, the average composition of the Yazoo Clay is 28% smectite (probably montmorillonite), 24% kaolinite, 22% quartz, 15% calcite, 8% illite, 2% feldspar, and 1% gypsum), on a grade of greater than 10 degrees running diagonally high-to-low from the northwest corner to the southeast corner. One notices that the interior floor of the northwest corner has developed a slope downward toward the northwest corner...

Would it be advisable to install pneumatically driven concrete pilings on that northwest corner to raise the interior flooring to level? Remember, these pilings are only to be applied to the frame of the house, regardless of the brick facade and fireplace, which are on seperate footings.

If such were to be done, without supplemental supports, what would be the expected outcome of such work? Would such work be advisable?