Let $\Gamma$ act on a countable set $V$ with only finitely
many orbits. Given a $\Gamma$-invariant random environment for a
Markov
chain on $V$ and a random scenery, we exhibit, under certain
conditions, an equivalent stationary measure for the environment and
scenery
from the viewpoint of the random walker. Such theorems have been very
useful in investigations of percolation on quasi-transitive graphs.