  In 2009, Corteel, Savelief and Vuleti\'c generalized the concept of
overpartitions to a new object called plane overpartitions. In recent work, the
author considered a restricted form of plane overpartitions called $k$-rowed
plane overpartions and proved a method to obtain congruences for these and
other types of combinatorial generating functions. In this paper, we prove
several restricted and unrestricted plane overpartition congruences modulo $4$
and $8$ using other techniques.
