Elkanah Brackin (or Bracken) Greer (October 11, 1825 – March 25, 1877) was an antebellum cotton planter, merchant, and then a general in the Confederate States Army who served in the Western Theater of the American Civil War.

In 1848, Greer moved to Marshall, Texas, where he established himself as a planter and merchant, and for a time was a partner in a law firm.

Three years later, he returned to Tennessee to marry a local girl named Anna Holcombe (whose famous sister Lucy Petway Holcombe married Francis Wilkinson Pickens, and became known during the Civil War as the "Queen of the Confederacy").

After training and equipping his men, he led the regiment into combat at the battles of Wilson's Creek and Elkhorn Tavern in Arkansas.

In October 1862, he was promoted to the rank of brigadier general and appointed as chief of the conscription bureau for the Trans-Mississippi region.