  We find a two-parameter family of {\it generalized superstrata} that emerge
as smooth, supersymmetric solutions in three-dimensional gauged supergravity
coupled to additional scalar fields. This new family of generalized superstrata
are smooth microstate geometries and may be thought of as supersymmetric
Coulomb-branch extensions of the original superstrata in which the underlying
supertube undergoes an elliptical deformation. These solutions had already been
obtained numerically, and as series solutions, to the equations of motion, and
some of them were conjectured to be supersymmetric. Here we prove the
supersymmetry of an entire two-parameter family and we obtain a highly
non-trivial analytic and smooth solution for a one-parameter limit in which the
global symmetry of the metric is enhanced to $SO(3)$. We also confirm that the
other known families of microstrata are {\it not} supersymmetric. We conclude
with a cursory analysis of some of the singular brane distributions that can be
accessed from three-dimensional gauged supergravity while preserving the same
supersymmetries as the superstratum, and therefore of the three-charge black
hole.
