Richardson authored several works, including:
- *An Address to the Public on the Subject of Education* (1838)
- *The Duty of Educating the Rising Generation* (1840)
- *A Plan for a System of Public Instruction for South Carolina* (1841)
- *A Manual of Moral Philosophy Designed for Use in High Schools and Colleges* (1849)
- *The History of South Carolina Military Academy* (1854)
- *The University of South Carolina: Its History, Condition, and Prospects* (1860)