$S^2$-bundles over 2-orbifolds

Let $M$ be a closed 4-manifold with ${\pi }_2(M)\cong Z$. Then $M$ is homotopy equivalent to either $C{P}^2$, or the total space of an orbifold bundle with general fibre $S^2$ over a 2-orbifold $B$, or the total space of an $R{P}^2$-bundle over an aspherical surface. If $\pi ={\pi }_1(M)≠1$ there are at most two such bundle spaces with given action $u:\pi \to Aut({\pi }_2(M))$. The bundle space has the geometry ${\mathbb{S}}^2\times {\mathbb{E}}^2$ (if $\chi (M)=0$) or ${\mathbb{S}}^2\times {\mathbb{H}}^2$ (if $\chi (M)<0$), except when $B$ is orientable and $\pi$ is generated by involutions, in which case the action is unique and there is one non-geometric orbifold bundle.