Excuse me, do you have reference on "Deviance(null) - Deviance(fit) = 2(L(model)-L(null))"? 
 
With  2(L(model)-L(null) do you mean it's "2 log likelihood" or "2 log (L0/L1)"?  Shouldn't it be "-2 log likelihood", or the equation of Deviance(null) - Deviance(fit) ignore the negative (-) sign?
 
Sorry for the rapid question.