  This is the second of two articles that describe the moduli spaces of
pseudoholomorphic, multiply punctured spheres in R x (S^1 x S^2) as defined by
a certain natural pair of almost complex structure and symplectic form. The
first article in this series described the local structure of the moduli spaces
and gave existence theorems. This article describes a stratification of the
moduli spaces and gives explicit parametrizations for the various strata.
