[en] The production of D⁰, D^*+, D⁺, D_s⁺ and Λ_c⁺ charm hadrons and their antiparticles in ep scattering at HERA has been studied with the ZEUS detector, using a total integrated luminosity of 372 pb^-1. The fractions of charm quarks hadronising into a particular charm hadron were derived. In addition, the ratio of neutral to charged D-meson production rates, the fraction of charged D mesons produced in a vector state, and the strangeness-suppression factor have been determined. The measurements have been performed in the photoproduction regime. The charm hadrons were reconstructed in the range of transverse momentum p_T > 3.8GeV and pseudorapidity vertical stroke η vertical stroke <1.6. The charm fragmentation fractions are compared to previous results from HERA and from e⁺e^- experiments. The data support the hypothesis that fragmentation is independent of the production process.