Megan,

Castle Island, adjacent to Washington, NC, had a lime kiln at one point. I am not sure if archaeologists have documented its remains, but Dr. Brad Rodgers, Dr. Nathan Richards, and a group of ECU Maritime Studies grad students documented the shipwrecks used as cribbing for the wharf associated with the kiln. The report, found here, http://www.ecu.edu/cs-cas/maritime/upload/ecur014a.pdf, might be of use to you. 

Best of luck,

Theresa Hicks