VanderHamm They are very similiar, probably related. I do have obits for Henry and his parents all buried here in Platte to verify his parentage. I also have the VanderHamm family history which says they lived in Iowa until 1910 when they moved to Platte.
The first family that you referenced was a little older. Wilhelmina would have been 51 when the Platte Henry was born. I suspect John and Chas/Carl were brothers. The history says Carl emigrated in 1868 with his parents, brothers and sisters. Henry's daughter, Evelyn, still lives here in Platte. She married my cousin.
Census records Home in 1880: Scotch Grove, Jones, Iowa John Vanderham 42 Wilhelmina Vanderham 38 Theadore Vanderham 15 David Vanderham 11 Catherine Vanderham 9 Henry Vanderham 7 John Vanderham 5 Annie Vanderham 2
Home in 1900: Scotch Grove, Jones, Iowa Chas Vanderham 33 Kate Vanderham 32 John Vanderham 10 Henry Vanderham 8 Fred Vanderham 4 Emma Vanderham 1 Henry Vanderham 25 brother John Vanderham 21 brother