I follow closely the literature on C1q deficiencies and I am not aware of such a case. We had a neurolupus patient with a C1q mutation, but there were no signs of schizophrenia.
Recent observations implicate some complement components in basal and ischemia-induced neurogenesis (C3), and synapse remodeling and pruning (Clq and C3) in brain development. Such findings provide a basis for further study of complement-mediated effects on neuroprotection and neurodevelopment and suggest a reexamination of the potential role of complement in neurodevelopmental disorders, such as schizophrenia and autism. Increased hemolytic activity of the complement Cl, C2, C4 components in schizophrenia may be the causative factor
I mean't complement system in general and if some one is born with deficiency and is prone to infections, would that have any relation to development of schizophrenia.