Using 13.7 fb(-1) of data recorded by the CLEO detector at Cornell Electron
Storage Ring, we report evidence of two new charmed baryons: one decaying
into Xi (0 ')(c)pi (+) with the subsequent decay Xi (0)(c)' --> Xi (0)(c)ga
mma, and its isospin partner decaying into Xi (+)(c)' pi (-) followed by Xi
(+)(c)' --> Xi (+)(c)gamma. We measure the following mass differences for
the two states: M(Xi (0)(c)gamma pi (+)) - M(Xi (0)(c)) = 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).