In the 1850 US Census for Grafton, Worcester County, Massachusetts the family of Lemuel P. Barnum was enumerated as follows:
Dwelling #792; Family #883
Lemuel P. Barnham, 34, M, Shoemaker, b. Rhode Island
Elmiria Barnham, 31, F, b. Rhode Island
Ellen Barnham, 9, F, b. Rhode Island, Attended school within the year
Harriot Barnham, 7, F, b. Rhode Island, Attended school within the year
Esther L. Barnham, 5, F, b. Connecticut