John William Graham was the oldest son of Jesse Graham and Elizabeth Hunnicutt. He died on Monday, 17 November 1913 in Meridian, Mississippi. This obituary appeared in the Macon Beacon newspaper on Friday, 28 November 1913.

“…A Noted Veteran.” John served in the Confederate Army during the Civil War. I’ve found conflicting information about which unit he served.
“…aged 73 years…” John was born on Sunday, 6 September 1840, which would have made his age 73 years, 2 months, and 11 days at the time of his death.
“…made Meridian his home for the past two years…” A little bit of math tells us John moved to Meridian circa 1911. Previously, John lived for a while with his son Reuben Graham in Brooksville, Mississippi, according to the 1910 census.
“…his son, J. R. Graham…” James Randolph Graham.
“…survived by his widow, aged 72…” John’s wife was Rebecca Jane Hunnicutt, daughter of Joseph Thompson Hunnicutt and Jane Caroline Orr. John and Rebecca were not only husband and wife, they were also first cousins — John’s mother Elizabeth was Joseph Hunnicutt’s sister.
“…among the sons being S. M. Graham…” Sanford Martin Graham.
Bibliography
Ancestry.com, Newspapers.com Obituary Index, 1800s-current (Lehi, UT, USA, Ancestry.com Operations Inc, 2019), Ancestry.com, http://www.Ancestry.com, Macon Beacon; Publication Date: 28/ Nov/ 1913; Publication Place: Macon, Mississippi, United States of America; URL: https://www.newspapers.com/image/328833485/?article=d4b52515-dee8-4906-8c19-e2c72b8d4a4e&focus=0.52272505,0.73389274,0.6751262,0.85262054&xid=2378. Record for John W. Graham. https://search.ancestry.com/cgi-bin/sse.dll?db=61843&h=562890322&indiv=try.
Fold3.com. Compiled Service Records of Confederate Soldiers Who Served in Organizations from the State of Mississippi (Mississippi, United States of America, The National Archives, 1903-1927), Publication Number: M269; Publisher: NARA; Record Group: 109; State: Mississippi; Roll: 0214. Record for John Graham.
Find a Grave, database and images (https://www.findagrave.com : accessed 20 September 2020), memorial page for John W. Graham (6 Sep 1840–17 Nov 1913), Find a Grave Memorial no. 68202359, citing Union United Methodist Church Cemetery, Oak Grove, Kemper County, Mississippi, USA ; Maintained by Ralph (contributor 47335878) .