We observe the diamagnetic shift and Zeeman splitting of ultra-sharp photoluminescence lines which appear in an ordered-GaInP epilayer using a micro-photoluminescence technique in fields up to 5 T. These transitions show many signatures of a fully quantum-confined state, however, a detailed description of the origin of these states is not known. Under a magnetic field, these states show behavior similar to other III-V quantum dot systems, with large variations in diamagnetic shift and exciton g factor. By noting their variation with energy, one can make inferences about possible confinement geometries. These results are compared to previous work.