Lower, Mark A (1860) Patronymica Britannica: a dictionary of the family names of the United Kingdom. London: J.R. Smith. Public Domain.
STAR
As described in historical dictionaries
Patronymica Britannica (1860)
STAR. STARR. Perhaps from the sign of an inn ; but more likely from an ancient personal name written in Domesd. Ster and Sterr. It is Star without prefix in PI.R.