  The locally supersymmetric extension of the most general gravity theory in
three dimensions leading to first order field equations for the vielbein and
the spin connection is constructed. Apart from the Einstein-Hilbert term with
cosmological constant, the gravitational sector contains the
Lorentz-Chern-Simons form and a term involving the torsion each with arbitrary
couplings. The supersymmetric extension is carried out for vanishing and
negative effective cosmological constant, and it is shown that the action can
be written as a Chern-Simons theory for the supersymmetric extension of the
Poincare and AdS groups, respectively. The construction can be simply carried
out by making use of a duality map between different gravity theories discussed
here, which relies on the different ways to make geometry emerge from a single
gauge potential. The extension for N =p+q gravitini is also performed.
