There is a memorial on Find a Grave using the name
Oak Hill Cemetery
Lansing Township, Allamakee County, Iowa
(Sept. 12, 1840 - April 16, 1884) Co B IA 27 Inf GAR NI
Note every other record I found said Shulz or Shulze --
Also note the date of death on the tombstone does not match
the date of death found in other records.