Although this cannot be proved, it seems quite plausible because we know of matrilinear societies in the South of China at later times.
"A history of China., [3d ed. rev. and enl.]" by Wolfram Eberhard
Her consort was sometimes unknown and, in a matrilinear society, unimportant.
"Five Stages of Greek Religion" by Gilbert Murray
Descent was matrilinear, and a society known as matriarchy existed, as contrasted to the later patriarchy.
"The Sex Worship and Symbolism of Primitive Races" by Sanger Brown, II