Most of what I have on Maj. E. B. Carruth is either
ancestral or post Civil War. The Carruth line is
Scotch-Irish and is well covered in the book
"Carruth Story" by Myrtle Carruth Cronkrite [CS]
(which I noticed is available in the MDAH library.)

Edward Brady Carruth (1831-1911) and James Baily
Carruth (1836-1862) were the first and second sons
of John Carruth, Jr (1801-1884) and Martha Turner
(1801-1852). John was from Oglethorpe Co, GA and
Martha from SC. They migrated to Pike Co, MS where
Edward and James were born, and then Amite Co, MS.

According to [CS], Edward and James, accompanied by
their personal servant, Tom, volunteered in
the 7th MS Reg. which led to the battlefield of Shiloh
where James was killed, and Tom returned home to tell
the story. [CS] also offers this poignant paragraph:

"During the Civil War John worked at his trade of wagon
making in New Orleans to aid the Southern cause. When
he returned home the devastation to fields and homes was
second only to the greatest tragedy of all, that of a
son left on a battlefield, and the added desolation of
the sudden (it seemed) maturing of members of the family
who now married and built lives of their own. It came
as a shock that there would be no reconstruction of
the times as they once were. There would be no going
back to the old days and the old ways."

What happened after the war is also well covered in [CS].
I've started a web page on Maj. E.B. Carruth which
you can view at http://www.armazilla.net/eb_carruth/
This is a work in progress.