Italian word famiglia comes from Proto-Indo-European *dʰeh₁-, Latin famula, and later Latin famulus (Serving, servile A servant, slave.)
*dʰeh₁- (Proto-Indo-European)
famula (Latin)
Female slave; maid, handmaiden, maid-servant. Temple attendant.
*famelos (Proto-Italic)
famulus (Latin)
Serving, servile A servant, slave.
familia (Latin)
Family (various senses, see usage notes). Household.
famiglia (Italian)
Family. Household.