Blame is merely a person's way of.  placing fault of their own amongst someone else to keep them from admitting any wrong.
Fault, a widely described word in which is a cause and or effect of a purpose.
Putting blame upon another is telling them they are at fault of making the wrong decision or choice of action.
Not much intellect goes into either word as I see it.
An action , so to speak, is bound to get a reaction.
So mind boggling these words, maybe it is that your actions caused another to make a decision you may Invision to be wrong when in respect it was only a reaction to your action, so whom shall be to blame or at fault now?
When in the act of pointing the finger or making such accusations of blame or fault ask yourself , was it an act you did that caused them to react in such a manner that it could be wrong?