  In this article we prove that the full automorphism group of a cyclic
$p$-gonal pseudo-real Riemann surface of genus $g$ is either a semidirect
product $C_{n}\ltimes C_{p}$ or a cyclic group, where $p$ is a prime $>2$ and
$g>(p-1)^{2}$. We obtain necessary and sufficient conditions for the existence
of a cyclic $p$-gonal pseudo-real Riemann surface with full\ automorphism group
isomorphic to a given finite group. Finally we describe some families of cyclic
$p$-gonal pseudo-real Riemann surfaces where the order of the full automorphism
group is maximal and show that such families determine some real 2-manifolds
embbeded in the branch locus of moduli space.
