  This paper extends the results from the author's previous paper to consider
finite, fiber- and orientation- preserving group actions on closed, orientable
Seifert manifolds $M$ that fiber over a non-orientable base space. An
orientable base space double cover $\tilde{M}$ of $M$ is constructed and then
an isomorphism between the fiber- and orientation-preserving diffeomorphisms of
${M}$ and the fiber- and orientation-preserving actions on $\tilde{M}$ that
preserve the orientation on the fibers and commute with the covering
translation is shown. This result and previous results lead to a construction
of all actions that satisfy a condition on the obstruction term and the
structure of the finite groups that can act on $M$.
