Apparatus for supporting a person's head in a selected position includes a flexible shaft that will maintain its shape when reconfigured for enabling a person's head to be supported in a selected position and a first coupler attached to one end of the shaft for coupling a replaceable chinrest to the one end of the shaft in a releasable restraining engagement. The first coupler includes a protuberance that is shaped for fitting within a cavity of the replaceable chinrest. The first coupler is rotatable about the longitudinal axis of the shaft. A second coupler is attached to the other end of the shaft for coupling a replaceable support base to the other end of the shaft in a releasable restraining engagement. The second coupler includes a protuberance having a shape that is functionally equivalent to the shape of the protuberance of the first coupler.