In this article we characterize the functional element “name of the family” in the unofficial personal names of married women in Paprad settlement (a part of the town Stará Turá, west Slovakia). This is the second most frequent functional element and it represents 22,36 % of all functional elements. 61,6 % of functional elements “name of the family” has not the identical anthropobase with the surname, that is pointing to greater independence of the official naming. We distinguish “name of the family” with anthropobase a) identical with the anthropobase of the surname, b) identical with the anthropobase of the “name of the house”, c) different from the anthropobase of the surname and the anthropobase of the “name of the house”. Moreover the functional element “name of the family” does not need to be identical with unofficial personal name of the family as the separate family name.