  We use the measure theoretical entropy from Vivas-Sirvent and the topological
entropies from Dinh-Sibony and Kelly-Tennant to prove that the equidistribution
measures $\mu_-$ and $\mu_+$ found by the author maximize entropy for the
$1$-parameter family $\lbrace\mathcal{F}_a\rbrace_a$ studied by
Bullett-Lomonaco. We find as well a measure of maximal entropy for the
composition of two deleted covering correspondences studied by Bullett.
