On the four sides are inscribed the names of 40 Civil War soldiers who served from this town. With the town record books not having kept an accurate list of those who served, a list of names in the appendix of an 1875 historical speech about the town and Congregational Church (see link below) was used for reference.
Below are the names of the inscribed [additions/corrections in brackets]:
Morse, Charles Fitch. Historical Discourse: Delivered at Atkinson, N.H., on the Centennial Anniversary of the Congregational Church. Lawrence, MA: Geo. S. Merrill & Crocker, c1875 [Appendix D, pg 36 - google books]
The Derry News, 31 Jan 31 1890 (monument gift, pg 5)
The Derry News, 31 May 1901 (article about monument, pg 2)
"Civil War Soldiers of Atkinson, NH" (Virtual Cemetery on Find a Grave)
Atkinson Cemetery (Flickr photo album w/ Civil War graves)