Individual Details

Married 3 Jan 1849 to Mary Hopkins.
I have not positively been able to identify this couple in the census, although they are said to have had a son John b. 1854 and daughter Jane, b. 1856.

Based on names of these children [names of William's siblings], I suspect this is William & Mary and the children above are incorrect:
1860 Census. Jackson Twp, Wells Co IN, Hh 822
William Adamson, age 36, b. IN. Mary, age 31, b. TN
Nancy E., age 5. Percilla, age 5, Aaron T., age 3
Samuel Jones, age 38, lived with them. He was born in Ohio.

1870 Census. Monroe Twp, Madison Co IN, Hh 300
William Adamson, age 46, b. IN. Mary, age 46, b. NC
Children born in IN: Nancy, age 18, Priscilla 16, Aaron 13, John 10, Robert 7.

In 1880, still in Monroe Twp, William is not in the household, but Mary states she is married.
Mary E. Adamson, age 57, b. NC, parents b. NC
Aaron T., son, age 23, works in saw mill
John, son, age 21, works in saw mill
Alexander, son, age 19, works in saw mill

He is said to have married a second time to Sarah Ann Grove, 14 Oct 1883, Afton, Union Co, Iowa.

I did not find William in Iowa in 1880. I did find Sarah in 1900.
Union Twp, Union Co. Iowa, Hh 152
Sallie A. Long, b. Oct 1851, age 48, a widow. Had 4 children, 3 are living. Born in Iowa, parent b. Ohio
Minnie Adamson, dau, b. Aug 1886, age 13
James W. Adamson, son, b. Jan 1890, age 10

Birth	28 Aug 1824	Wayne County, Indiana
Death	13 Mar 1890	Afton, Union County, Iowa

Father	Isaac ADAMSON (1795 - 1833)
Mother	Nancy Garner (1797 - 1860)
Sibling	Henry Riley ADAMSON (1819 - )
Sibling	Priscilla ADAMSON (1820 - 1882)
Sibling	Eliza Jane ADAMSON (1822 - 1897)
Sibling	Aaron ADAMSON (1826 - 1881)
Sibling	Sarah Jane Adamson (1828 - 1883)
Sibling	James ADAMSON (1830 - 1915)