A method or process for making one or more components of a head fixation device includes preforming, molding, and finishing subprocesses. The preforming subprocess includes placing fibers onto a substrate to orient the fibers parallel to a flux of force that the component is expected to experience in use. The fiber layers are combined and can be draped over an optional core before being molded to combine the assembly with a molding material. The resultant molded preform undergoes a finishing subprocess that can include smoothing the component to remove any burrs or sharp edges from the molding subprocess.