In another genealogy source, I see an Albert Syring and Elizabeth Syring [1863-1912] with three children, Ella, Raymond and Hugo, the last two born in Neenah. A marriage date is given, location Brillion.
That source also gives, for Pauline Reif [1857-1925], a full name for her husband, Casper Norman Baier. Their children were Louise, Emma, William and Mata. A marriage date is given, location Brillion.
I don't see John Reif of the right age range, however.
If this is helpful and you want more details, drop me a note if you'd like.