Often these carved heads are of known persons, such as Beethoven (which may be the case with your head), or other known composers, violinists, etc. Occasionally, they are of animal heads, and sometimes of mythical creatures. Less often, the carving is the likeness of an owner. I am aware of one that was commissioned by a (rather homely) young girl, with her own likeness carved on the head, to be given as a gift to a young violinist who she had a crush on. I guess the bottom line is, there are no set rules regarding this.