Wikipedia has a little bit of Burneyville history: (
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Burneyville and Love County were named for prominent Chickasaw Indians who settled in the area in the early 1840s as part of the Federal removal of the tribe from northern Mississippi to Indian Territory.
David C. Burney and his wife, Lucy James Burney, were prominent Chickasaw Indians who relocated to what was then Pickens County, Indian Territory, from northern Mississippi and established a farm on the site of the future town. The émigrés traveled to Indian Territory by steamboat up the Red River. They paused at Shreveport, Louisiana, on January 15, 1844, for the birth of a son. The family named him for the boat's captain, Benjamin Crooks.
Though the parents did not live to see it happen, both that son, Benjamin Crooks Burney, and a future son-in-law, Benjamin F. Overton, would be elected governors of the Chickasaw Nation in the late 1870s and early 1880s. The mother, Lucy, died in 1845, and the father, David, died shortly after the Civil War.
Prior to his death, the Chickasaw Nation honored David C. Burney in the naming of a girls' school. The Burney Academy opened in 1859. A post office was located there from July 3, 1860, to June 22, 1866, although it was probably not in continuous operation because of the Civil War. The site of the academy was 2 miles (3.2 km) southeast of Lebanon in what is now Marshall County.
Burney was honored posthumously when the Burneyville post office opened on the site of the family farm on May 5, 1879. The post office is the oldest in Love County that is still in use. The first postmaster was James C. Nall.
The location of the town of Burneyville has never changed. It is situated nine miles (14 km) west of Marietta, the county seat, and two and one-half miles southwest. It is approximately three miles north of the Red River. Walnut Creek Bayou passes to the north. The Burney Ferry, south of the Burney farm, was the main business and travel route before the Santa Fe railroad completed its north–south link between Indian Territory and Texas in 1887.
With the merger of Indian Territory and Oklahoma Territory at statehood in 1907, the county of Love was carved from part of the former Pickens County. The county was named for Overton Love, an esteemed judge of the Chickasaw Nation court who had arrived in Indian Territory in 1843, one year prior to the Burney family.
For many years, Burneyville proper has consisted only of the post office, a Baptist church, two cemeteries, and 12 houses. But in its heyday through the first half of the 20th century, the townsite three miles (5 km) north of the Red River included a hotel, grocery, general merchandise store, blacksmith, druggist, and two doctors.