Once an important Mississippi River shipping port for cotton, little remains of the community but a cemetery.

The Concordia Cemetery, located south of the community, has been used since 1848, and is marked with a historic plaque.

[1] Concordia was officially formed in 1866, and included "Carson's Landing", located north of the settlement.

[2][3] When the Louisville, New Orleans and Texas Railway was built in 1889, it passed 3 mi (4.8 km) east of the town, and many residents abandoned Concordia and moved to the nearby railway town of Gunnison.

The river had previously followed the "Concordia Bend", with the town located on the east bank.