Looking in the US Federal Census it seems that Samuel has left Hannah prior to the 1860 to fend for herself with 5 children. I found this on Ancestry.com. It shows her living with her mother in 1860 & 1870 Census and in 1880 living with Oliver and wife Celestia and 3 children.
Now my search for Samuel the 1870 Census still in Ohio shows wife Amanda and three sons ranging in age 11 to 14 years. The first child Urias J being born 1856.
The last child for Hannah was born in 1857 named Samuel, so take it for what it is worth. These are the only facts I can find.