Latin word villa comes from Latin -olus, Proto-Indo-European *wey-, Proto-Indo-European *weiḱ-

Detailed word origin of villa

Dictionary entry	Language	Definition
-olus	Latin (lat)
*wey-	Proto-Indo-European (ine-pro)
*weiḱ-	Proto-Indo-European (ine-pro)
*weyg-	Proto-Indo-European (ine-pro)
vicus	Latin (lat)	Municipal section or ward, farm. Street; quarter, neighbourhood; row of houses. Village; hamlet.
*vicula	Latin (lat)
villa	Latin (lat)	Country house; villa. Estate, farm.