We investigate two-dimensional supergravity theories, which can be bui
lt from a topological and gauge invariant action defined on an ordinar
y surface. One is the N = 1 supersymmetric extension of the Jackiw-Tei
telboim model presented by Chamseddine in a superspace formalism. We c
omplement the proof of Montano, Aoaki and Sonnenschein that this exten
sion is topological and gauge invariant, based on the graded de Sitter
algebra. Not only do the equations of motion correspond to the superg
ravity ones and do gauge transformations encompass local supersymmetri
es, but we also identify the integral([eta, F]-theory with the superfi
eld formalism action written by Chamseddine. Next, we show that the N
= 1 supersymmetric extension of string-inspired two-dimensional dilato
n gravity put forward by Park and Strominger cannot be written as a in
tegral[eta, F]-theory. As an alternative, we propose two topological a
nd gauge theories that are based on a graded extension of the extended
Poincare algebra and satisfy a vanishing-curvature condition. Both mo
dels are supersymmetric extensions of the string-inspired dilaton grav
ity.