I only have listed them having had two sons. The first was Samuel named after Henry's father Samuel Dunham born 5 March 1830 and died 2 years later on 16 October 1832. The only other son I have listed for them was James H. (probably stood for Henry) who was born 16 December 1844. He did live long enough to marry. His wife's name was Mary Hardin.
Henry Dunham's father was a minister, Samuel Dunham and his mother was Mary Earl.