  We extend our previous study on the decay behavior of $P_c$ hadronic
molecules to their strange and beauty partners. While $P_c(4380)$ and
$P_c(4450)$ locate just below the $\bar D\Sigma_c^*$ and $\bar D^*\Sigma_c$
thresholds, respectively, their proposed strange partners $N(1875)$ and
$N(2080)$ sit just below the $K\Sigma^*$ and $K^*\Sigma$ thresholds,
respectively. Using the effective Lagrangian approach as the same as for the
study of $P_c$ hadronic molecular states and with the couplings determined by
the $\mathrm{SU}(3)$ flavor symmetry, the decay patterns of $N(1875)$ and
$N(2080)$ are obtained assuming them to be the $S$-wave $K\Sigma^*$ and
$K^*\Sigma$ molecules, respectively. It is found that the measured decay
properties of $N(1875)$ and $N(2080)$ are reproduced well. Our results suggest
that both $N(1875)$ and $N(2080)$ can be ascribed as the hadronic molecular
pentaquark states in the hidden strangeness sector with quantum number
$I(J^P)=1/2({3/2}^-)$. Further checks on their hadronic molecule nature by
various experiments are proposed. With the same approach, we also give our
predictions for the decay behavior of the possible beauty partners of the $P_c$
hadronic molecular states. The $B^*\Lambda_b$ is found to be the largest decay
mode for both $B\Sigma_b^*$ and $B^*\Sigma_b$ hadronic molecules, hence can be
used to look for the hidden beauty pentaquark states in forthcoming
experiments.
