Babić family name typically is borne by a person of a Croatian ethnicity, but less frequently it can also be surname of Croatian Serbs from the city of Knin.Geography. Villages of Voštani near Sinj, Laze near Nova Gradiška and Lukovo near Senj are places where one of every three residents bears the Babić family name.abić family name typically is borne by a person of a Croatian ethnicity, but less frequently it can also be surname of Croatian Serbs from the city of Knin.