  In this work, we present the three-dimensional Maxwell Carroll gravity by
considering the ultra-relativistic limit of the Maxwell Chern-Simons gravity
theory defined in three spacetime dimensions. We show that an extension of the
Maxwellian Carroll symmetry is necessary in order for the invariant tensor of
the ultra-relativistic Maxwellian algebra to be non-degenerate. Consequently,
we discuss the origin of the aforementioned algebra and theory as a flat limit.
We show that the theoretical setup with cosmological constant yielding the
extended Maxwellian Carroll Chern-Simons gravity in the vanishing cosmological
constant limit is based on an enlarged extended version of the Carroll
symmetry. Indeed, the latter exhibits a non-degenerate invariant tensor
allowing the proper construction of a Chern-Simons gravity theory which
reproduces the extended Maxwellian Carroll gravity in the flat limit.
