From MS CS Grave Registrations:

"EGGLESTON, William 18th MS Inf. 1843-1919 Holm Holm"

Jim:

This death year (1919) for Wm. Eggleston appears to an error.
The 1910 Holmes County Census has D(elia) S(essions) Eggleston as a 62 year old widow.

From this cemetery transcription:
http://www.rootsweb.com/~msholmes/cemeteries/lexington2.htm

EGGLESTON, William b. July 17, 1843 d. April 22, 1909
EGGLESTON, Delia Sessions b. Oct 21, 1847 d. July 23, 1931

Mitch