We investigate the occurrence of Hund's rule magnetism in C n± 60 molecular ions, by computing the ground-state spin for all charge states n from −3 to +5. The two competing interactions, electronvibration (e-v, including Jahn Teller, favoring low spin) and electron-electron (e-e, including Hund-rule exchange, favoring high spin), are accounted for based on previously computed ab-initio coupling parameters. Treating the ion coordinates as classical, we first calculate and classify the static Jahn-Teller distorted states for all n, inclusive of both e-v and e-e effects. We then correct the adiabatic result by including the zero-point energy lowering associated with softening of vibrations at the adiabatic Jahn-Teller minima. Our overall result is that while, like in previous investigations, low-spin states prevail in negative ions, Hund's rule high spin dominates all positive C n+ 60 ions. This suggests also that Hund-rule magnetism could arise in fullerene cation-based solid state compounds, particularly those involving C 2+ 60 .PACS. 36.40.Cg Electronic and magnetic properties of clusters -61.48.+c Fullerenes and fullerene-related materials (structure) -71.20.Tx Fullerenes and related materials; intercalation compounds (electronic structure) -75.75.+a Magnetic properties of nanostructures