  The balanced superelliptic mapping class group is the normalizer of the
transformation group of the balanced superelliptic covering space in the
mapping class group of the total surface. We give finite presentations for the
balanced superelliptic mapping class groups of closed surfaces, surfaces with
one marked point, and surfaces with one boundary component. To give these
presentations, we construct finite presentations for corresponding liftable
mapping class groups in a different generating set from Ghaswala-Winarski's
presentation in \cite{Ghaswala-Winarski1}.
