The William HINZMAN referred to in my post was from Lewis County, WV. He married Mary Anna WETZEL who was born 14 December 1815. I am sorry to say that it would not be possible for her to be the mother of your Sophie.
I list the following children to William HINZMAN and Mary Anna WETZEL:
Jacob, Louisa, Minerva, Rheuanna, and Webster.
I have not yet traced down those lines and have not run across any WV Hinzmans that migrated to SD.
I hope you find your ancestor. If I can be of any further service to you, feel free to email me.