  Using 13.7 $fb^{-1}$ of data recorded by the CLEO detector at CESR, we report
evidence for two new charmed baryons: one decaying into $\Xi_c^{0 \prime}\pi^+$
with the subsequent decay $\Xi_c^{0 \prime} \to \Xi_c^0 \gamma$, and its
isospin partner decaying into $\Xi_c^{+ \prime} \pi^-$ followed by
$\Xi_c^{+\prime} \to \Xi_c^+\gamma$. We measure the following mass differences
for the two states: $M(\Xi_c^0 \gamma \pi^+)-M(\Xi_c^0)$=318.2+-1.3+-2.9 MeV,
and $M(\Xi_c^+ \gamma \pi^-)-M(\Xi_c^+)$=324.0+-1.3+-3.0 MeV. We interpret
these new states as the $J^P = 1/2^- \Xi_{c1}$ particles, the charmed-strange
analogs of the $\Lambda_{c1}^+(2593)$.
