Amurri, very very rare, specific of the Piceno area, should derive from a patronymic genitive form in i, of an Italian-name pre-Roman Amurus or Amurrus, it is really remote the possibility that somehow has to do with the Akkadian Middle Eastern population of the Amurri or Amorites.
Buy a heraldic document with your coat of arms
You may be interested
Verba Volant, Scripta Manent