  Let $(S,\eta)$ be an origami pair, that is, $S$ is a closed Riemann surface
of genus $g \geq1$ and $\eta:S \to E$ is a holomorphic branched covering, with
at most one branch value, where $E$ is a genus one Riemann surface. As the
lowest uniformizations of $S$ are provided by Schottky groups, we are
interested in describing origami pairs in terms of virtual Schottky groups. In
other words, we are interested in those Kleinian groups $K$ which contain, as a
finite index subgroup, a Schottky group $\Gamma$ such that $S=\Omega/\Gamma$
and such that $\eta$ is induced by the inclusion $\Gamma \leq K$. We say that
$K$ is an origami-Schottky group. We provide a geometrical structural picture,
in terms of the Klein-Maskit combination theorems, of these origami-Schottky
groups.
