I'm surprised no one else sent you the link to the tombstones in Mt. Hope. These tombstones records (http://mcnygenealogy.com/cem/mthope-range-3s-z.htm
) were copied by Karen Dau.
It appears that there are a William and Wilhelmina Schutt buried near your Frederick & Anna. I thought they might be Fred's parents. So I looked for them in early census records. This link (https://familysearch.org/pal:/MM9.1.1/M8JD-NCM
) to the 1870 census will show you that William & Wilhelmina "Shutt" have a son Frederick aged 10.