  We calculate the next-to-leading order QCD corrections to the `direct' part
of the spin-dependent cross section for single-inclusive charged-hadron
photoproduction. This process could be studied experimentally in future
polarized fixed-target lepton-nucleon experiments, but also at the HERA ep
collider after an upgrade to both beams being polarized. We present a brief
numerical evaluation of our results by studying the K-factors and the scale
dependence of the NLO cross section.
