  We show that a germ of a real analytic Lorentz metric on ${\bf R}^3$ which is
locally homogeneous on an open set containing the origin in its closure is
necessarily locally homogeneous. We classifiy Lie algebras that can act
quasihomogeneously---meaning they act transitively on an open set admitting the
origin in its closure, but not at the origin---and isometrically for such a
metric. In the case that the isotropy at the origin of a quasihomogeneous
action is semisimple, we provide a complete set of normal forms of the metric
and the action.
