I was searching Herman Muller and noticed your inquiry into Louis Muller. Found father and son "Louis" references below signed from "Melva". Maybe you can find the posting on this message board. Hope it helps, if not, sorry to confuse:
"Back to the Willims family of Alma, Wi. Alfred F (Abner) Williams was born 1862, married Ida M. Muller/Mueller on Apr 1882 in Buffalo Co. Wisconsin. He was a painter and and agent by trade. Ida M. Muller was born Aug. 1867 in Alma, Wi. They has something to do with the Union House hotel on 201 North Main in Alma. Her father was Louis (Jakob Ludwig) Mueller/Muller and her Mother was Elizabeth Lorenz. Ida siblings: Amanda, Herman Carl, Louise, and Nettie.
That is all I can come up with for now. If anything clicks let me know.
Again thank you for replying. Melva