  In this note, we prove $p^2$ is a Morley pseudoprime (of order 2) iff $p^2$
is a Wolstenholme pseudoprime (of order 2) iff $p$ is a Wolstenholme prime iff
$p$ is a Morley prime. Concerning pseudoprimes of order 1 that are not powers
of primes, only 3 are known of Wolstenholme's type and absolutely none have yet
been identified of Morley's type.
