I have HAUSGEN records for Menominee, Michigan. I am told my gg grandfather (ernest BEYER) was married twice. After his first wife died he married his wife's sister.
I have found the following records from the Dibean marriage database.
EHREGOTE ERNEST - BEIER,
Married in Menominee, Michigan 05 MAY 1887,--,--- to
MINNA MARIE - HAUSGEN,
ERNST - BEIER,
Married in Menominee, Michigan 28 NOV 1892,---,---
MARIE - HAERISGEN,
I suspect the name HAERISGEN is misspelled based on my not finding any other HAERISGEN surnames, and the verbal records of his wives being sisters.