Willigan's two major publications were textbooks that he co-authored (both with St. John's colleague
John J. O'Connor, who would leave for
Georgetown University):
Sociology (Longmans Green and Company, 1940), and
Social Order (Longmans Green and Company, 1941). Both books went through numerous printings. Willigan also edited the manuscript of
Introduction to Social Living for publication by the
William J. Kerby Foundation, which was based on Monsignor Kerby's unfinished notes on sociology, and was published by
Catholic University of America Press in 1948. In 1950, Willigan contributed an article ("Society and the Atom") to a collected work published by St. John's University Press: ''The Implications of Atomic Energy: Five Essays on the Scientific, Sociological, Legal, Economic and Ethical Implications of Atomic Energy Written by Faculty Members at St. John's University''. In 1955, he contributed an article ("Freedom and Labor") to another collective work by St. John's faculty members: Carl W. Grindel (ed.),
Concept of Freedom (
Henry Regnery Company), a book which was awarded a Washington Medal from the
Freedoms Foundation in
Valley Forge. Willigan contributed articles on "Government" and "Democracy" to
The Catholic Encyclopedia for School and Home (McGraw-Hill, 1965), and articles on "Civil Liberties," and "Political Science" to
World Scope Encyclopedia Year Book 1965 (Universal Guild, 1966). He was a technical editor for the Christian Social History Series, which was published by W. H. Sadlier, Inc., in collaboration with the Curriculum Committee of the New York State Council of Catholic School Superintendents. He also edited a series of textbooks for the Sisters of Mercy, Brooklyn Community, that were published by the Bruce Publishing Company in Milwaukee, including
America, Land of Achievement (1954). During his academic career, he contributed articles to
High Points,
The Magnificat,
Catholic Association for International Peace News,
The Journal of the Brooklyn State Hospital Psychiatric Forum,
The Tablet, and
Sadlier Educationotes. Willigan's final article was a chapter ("Conscience, Conflict and the Crusades") in
Frank J. Coppa, (ed.),
Religion in the Making of Western Man (St. John's University Press, 1974), a book which was dedicated by Coppa to him, Arpad F. Kovacs, and
Borisz de Balla, "for many years of distinguished and loyal service to St. John’s University, New York." He was also a regular book reviewer for the
American Catholic Sociological Review. ==Bibliography==