The Br'er Rabbit was a character of the 1880s Uncle Remus stories written by Joel Chandler Harris of Earth.
A book containing these stories was amongst the books Arik Soong left his adopted Augment children after he was captured by Earth forces. (ENT: "The Augments")
Those stories were also the source of the nomenclature "Briar Patch" given to an area of space in sector 441. While engaged in a battle in that area in 2375, Commander William T. Riker mentioned Br'er rabbit as an analogy while strategizing ways to beat off Son'a pursuers. He explained the Riker Maneuver by saying "time to use 'The Briar Patch' like Br'er Rabbit did...". (Star Trek: Insurrection)