A matriname passed on to subsequent issue is unchanged, as compared to a matronymic, which is derived from the first name of each new mother.
"[1][b] The mitochondrial DNA (mtDNA) is inherited by biological motherhood whereas the matriname can be equally given after adoption or surrogacy.
In the 1979 Convention on the Elimination of Discrimination Against Women (CEDAW) the UN holds the view, in item (g) of its Article 16, that women and men, and specifically wife and husband, have the same rights to choose a "family name" as well as a "profession" and an "occupation".
[2] Sykes argues choosing a "family name", or surname, should mean combining a matriname with a patriname, to avoid discriminating against either women or men.
If a culture has these then to not discriminate it combines both, as mentioned above; that is, the matriname and the patriname are both given in each child's birth record.
All of their sons have the Y-DNA of and, accordingly, the patriname "Monkhouse" of their patriline, while all of the daughters have both the mtDNA of and, accordingly, the matriname "Phythian" of their matriline.