Final answer:
James Alcorn is best known for his contribution to the expansion of education opportunities for African Americans by having an HBCU, Alcorn State University, named after him and for improving access to public education and inclusive social services during the Reconstruction era.
Step-by-step explanation:
Among James Alcorn's accomplishments, he is most notably recognized for serving as a significant figure in the education sector and in politics during the Reconstruction era. Specifically, Alcorn State University in Mississippi was established in his name as one of the historically black colleges and universities (HBCUs). This institution was named after him due to his involvement in expanding education opportunities for African Americans following the Civil War.
Furthermore, Alcorn served as a U.S. senator and was a political figure who influenced policies related to the post-war reconstruction of southern states. His efforts contributed to improving access to public education for African Americans, which was virtually non-existent before the end of the Civil War. He was also involved in opening state institutions to both white and black residents, signaling a move towards more inclusive social services during his time.