Wood was born at Mount Gilead, Ohio, March 1, 1840, eleventh child to David and Esther Ward Wood. He was a brother to Samuel Newitt Wood and Stephen Mosher Wood. On September 23, 1860, David was married to Eliza Mary Johnson, daughter of Jonathan Joshua Johnson and Joanna Cobb of Marion County, Ohio. She was born in Columbiana County, Ohio, December 27, 1840. David and Eliza then moved to Marion County, Ohio. On March 6, 1861, Eliza Mary Johnson was listed as married contrary to discipline in the Mount Gilead Monthly Meeting records. The Wood family were members of the Alum Creek Monthly Meeting. On February 12, 1862, their first son, Willie O. Wood, was born at Mahaska County, Iowa; he died the same day. On April 7, 1863, their second son, Samuel Newitt Wood, was born in Morrow County, Ohio. On December 11, 1863, their son Samuel N. Wood died at Leavenworth, Kansas. On September 8, 1864, their first daughter, Lula May Wood, was born at Paola, Miami County, Kansas. On October 1, 1870, their third son, John Berta "Berty" Wood, was born. On November 5, 1874, John "Berty" Wood died and was buried in Otter Creek Cemetery at Liberty Center, Warren County, Iowa. On April 27, 1880, their fourth son, Rolla Burton Wood, was born. On June 6, 1906, David John Mosher Wood was married to Adeline Mary Reynolds; she was previously married to Norman Henry Reynolds.
On July 18, 1889, Wood was commissioned and appointed by President Benjamin Harrison to be agent for the Indians of the Ponca, Pawnee, Otoe, and Oakland Agency, in the Indian Territory replacing Elihu C. Osborne. These were four separate tribes; the Ponca, the Pawnee, the Tonkawa and the confederated tribe of Otoes and Missouria and had essentially four separate subagencies with their own individual government and business affairs. So Wood and family moved to Stillwater, Payne County, Oklahoma. On June 18, 1893, Wood was replaced by James P. Woolsey of Rogers, Arkansas, appointed by Grover Cleveland.
Methodist Minister
On September 11, 1887, Wood was sent as a Methodist Episcopal Churchmissionary from the Des Moines conference to the Indian territory and was stationed at Catoosa in the Cherokee nation. On January 1, 1888, Wood assumed the duties in the Tulsa church until a permanent preacher could be assigned. On March 10, 1888, Wood attended the South Kansas Conference of the M. E. Church, where Bishop Bowman announced his transfer from the Des Moines, Iowa conference. It was around this time that he moved to the Pawnee reservation as a missionary. On October 18, 1888, the eighth conference of the Methodist Episcopal Church met at Catoosa, Oklahoma, where Wood was made superintendent of the territory south and west of Arkansas River and Pawhuska. On March 21–26, 1889, there was a Methodist Indian Mission Conference held in Tulsa, Oklahoma. Wood was appointed for the Pawnees. Sometime in 1892, Wood was admitted to the Oklahoma Conference of the Methodist Episcopal Church. On December 13, 1900, Wood and family moved to Glencoe, where Wood had accepted the position of pastor at the Glencoe M. E. Church.
Death
On August 16, 1918, Wood passed away at Stillwater, Payne County, Oklahoma. He died at the home of his son, Rolla Wood. Brief funeral services were held at the house Sunday morning, conducted by Rev. E. V. DuBios, pastor of the First Methodist church, assisted by the Rev. Adolphus Carrion of Pawnee, full-blooded Sioux.