There is a volunteer at Random Acts Genealogical Kindness who will copy an obit. Go to www.raogk.org
, read instructions, choose Idaho, choose Shoshone Co.
You said you have been struggling to find info about Henry so I thought I'd list what I found.
Henry was living in Kingston, Shoshone Co., ID in 1910.
Henry S. Davenport, b. abt. 1879, NC, single, retail merchant.
Henry Seaton Davenport was living in Enaville, Shoshone Co Sept. 12, 1918. He was born 17 July 1877. He was a merchant in Enaville. Nearest Relative=E. V. Davenport, Elizabeth City, NC. Source: World War I Draft Registration cards 1917-18, www.ancestry.com
In 1920 Henry was living in Enaville, Shoshone Co.
Henry S. Davenport, b. abt. 1879, NC, proprietor general store, single.
In 1930 Henry ane wife were living in Bonners Ferry, Boundary Co., ID.
Henry Davenport, b. NC, abt. 1879, marr @ 45, merchant.
Jessie M. Davenport, wife, b. ID, 34 yrs old, marr @ 18.