All of the following are at Duke:
Angier B. Duke Memorial Scholarship
Full tuition, summer study (usually at Oxford), research award
http://www.duke.edu/web/abduke/
Benjamin N. Duke Scholarship
Full tuition (North/South Carolina residents)
http://www.bnduke.org/bndt/scholarships/
Trinity Scholarship
Full tuition, room and board, and summer study (North Carolina residents)
http://www.bnduke.org/bndt/scholarships/trinity.aspx
University Scholarship
Full tuition (requires demonstrated financial need)
http://www.duke.edu/web/usp/index.html
Reginaldo Howard Scholarship
Full tuition (African-American students)
http://www.duke.edu/web/howard/
This is in addition to the Robertson Scholarship, offered and run jointly through Duke and UNC, which was mentioned previously.
The
scholarship office (OUSF) has more general information.