I like the thought process but where are you getting your information? There is a closer tie to trinity relationship, the 3 being only 1, from looking at polytheistic goddesses than trying to make your neat little family unit. The maiden, the mother and the crone can be seen in the mixup and similar names and semi-interchangeable identities of Freyja, Freya, Frigg. It has been argued for the Grecian combo of Hekate, Hera and Persephone, but that is often contested, yet at least seen in combo with an unspoken reason thru the Elusian mysteries. There is also a trinity within Hinduism, Brahma, Vishnu and Shiva, that I was surprised you didn't speak on, all male. It's less about gender and more about that creation, destruction, maintenance dynamic.