  We report optical spectroscopic observations of X-shaped radio sources with
the Hobby-Eberly Telescope and Multiple-Mirror Telescope, focused on the sample
of candidates from the FIRST survey presented in Paper I (Cheung 2007). A total
of 27 redshifts were successfully obtained, 21 of which are new, including that
of a newly identified candidate source of this type which is presented here.
With these observations, the sample of candidates from Paper I is over 50%
spectroscopically identified. Two new broad emission-lined X-shaped radio
sources are revealed, while no emission lines were detected in about one third
of the observed sources; a detailed study of the line properties is deferred to
a future paper. Finally, to explore their relation to the Fanaroff-Riley
division, the radio luminosities and host galaxy absolute magnitudes of a
spectroscopically identified sample of 50 X-shaped radio galaxies are
calculated to determine their placement in the Owen-Ledlow plane.
