Source : Webster's Revised Unabridged Dictionary (1913)

Causally \Caus"al*ly\, adv.
   According to the order or series of causes; by tracing
   effects to causes.

Causally \Caus"al*ly\, n. (Mining.)
   The lighter, earthy parts of ore, carried off washing.

Source : WordNet®

causally
     adv : in a causal fashion; "causally efficacious powers"