In the 1850 US Census for Franklin, Franklin County, Vermont the family of Heman Barnum was enumerated as follows:
Dwelling #171; Family #174
Heman Barnum, 42, M, Farmer, Real property $1,275, b. Vermont
Amina Barnum, 41, F, b. Vermont
Lorenzo Barnum, 16, M, Farmer, b. Vermont, Attended school within the year
Elizabeth Barnum, 12, F, b. Vermont, Attended school within the year
Rodney Barnum, 7, M, b. Vermont, Attended school within the year
Harley Barnum, 1, M, b. Vermont
In The American Christian Record (1860) Heman N. Barnum was listed as a Congregational minister in Saint Johnsbury, Vermont.