The cover of "The Peckster ProfessorSHIP" by J. P. Quincy features a blue background with a white and gold title, "The Peckster ProfessorSHIP" in large letters, and "An Episode in the History of Psychological Research" in smaller text. The cover also includes a small illustration of a butterfly and a crest with the text "The Peckster ProfessorSHIP" in gold.