There was a student named Martha Bond in the rolls of the Mordecai school. She was there for three terms, starting summer 1810 and staying through the end of 1811. I don't have a hometown or adult's name attached to her name.
Seems like that should be a pretty dead end for further exploration, but just to be sure, searched out a "Martha Bond" in NC around the right age. And I found one! Martha Bond, daughter of James Bond (1760-1812) and Mary Hoskins (1767-1831), married David Small in 1822. Her parents married in 1787, and she was the third of their six children, which likely lands her birth year in the mid-1790s--very plausible for a Mordecai student in 1811. What makes this Martha Bond Small a very likely candidate is her family connections... Mary Hoskins, born in Chowan County NC, was kin to the Blount/Blunt family (see previous entry). Three of Mary's siblings married people named Blount.
The North Carolina Historical Register has Martha Bond Small as mother of six: Jane E. Small (1829-1873), William B. Small (1831-1854), Mary Frances Small (1831-1835), David Small (1833-1866), Edmund Small (1835-1862), Thomas M. Small (1837-1909). She died a widow in 1845. Three of her sons were in the CSA; one died in the war; one died afterwards from an illness contracted in the army; and the youngest survived as a disabled veteran ("His lameness is very perceptible in walking").
Remembering that some Marthas were called "Patsy" or "Patsey" in her place and time, I also searched Pats(e)y Bond Halls... sure enough, there's mention of her marriage to David Small as "Patsey Bond," married by an Obadiah Small in Chowan County. These sources have her marrying in 1826 or 1828, which might match better with her children's birth dates. Someone in Edenton owns (or at least owned) the family bible of David and Martha Small, which shows her as born 8-14-1796. (And David Small as slightly younger, born 11-13-1796.)
So to sum it all up: Martha "Patsey" Bond was born 1796, the third child of her parents. She went to the Mordecai school just before she turned 14, and stayed until she was 15. Soon after she left school, her father died, in February 1812. Martha married when she was about 30, and had six children before she was widowed; one of her daughters, Mary Frances (possibly a twin?), died at age 4. Martha Bond Small died in 1845, age 49. When she died, her youngest sons were 10 and 8.