  We study dilaton-gravity theories in 2-dimensions obtained by dimensional
reduction of higher dimensional nonrelativistic theories. Focussing on certain
families of extremal charged hyperscaling violating Lifshitz black branes in
Einstein-Maxwell-scalar theories with an extra gauge field in 4-dimensions, we
obtain $AdS_2$ backgrounds in the near horizon throats. We argue that these
backgrounds can be obtained in equivalent theories of 2-dim dilaton-gravity
with an extra scalar, descending from the higher dimensional scalar, and an
interaction potential with the dilaton. A simple subcase here is the
relativistic black brane in Einstein-Maxwell theory. We then study linearized
fluctuations of the metric, dilaton and the extra scalar about these $AdS_2$
backgrounds. The coefficient of the leading Schwarzian derivative term is
proportional to the entropy of the (compactified) extremal black branes.
