How old and where is this house? (If this house is new, you should be talking to the Building Inspector.)
What are the basement walls made of?
When I think of basement walls, I think of poured concrete walls on top of a concrete footing with a keyway. But, every now and then I think of cement block walls on a footing with rebar. I never think of wood below ground level.
Is your basement above ground level on a slab?
Are you looking to add lally collums to help distribute the load of the house?