The buskin and sock being controversial letters between Mr. Thomas Sheridan, tragedian, and Mr. Theophilus Cibber, comedian; just published in Dublin
MLA
Sheridan, Thomas, and Theophilus Cibber. The Buskin and Sock: Being Controversial Letters Between Mr. Thomas Sheridan, Tragedian, and Mr. Theophilus Cibber, Comedian; Just Published In Dublin. [London]: Dublin printed; London reprinted for Jacob Robinson, 1743
APA, 7th edition
Sheridan, T., & Cibber, T. (1743). The buskin and sock: being controversial letters between Mr. Thomas Sheridan, tragedian, and Mr. Theophilus Cibber, comedian; just published in Dublin. [London]: Dublin printed; London reprinted for Jacob Robinson
Chicago, 17th edition
Sheridan, Thomas, and Theophilus Cibber. The buskin and sock: being controversial letters between Mr. Thomas Sheridan, tragedian, and Mr. Theophilus Cibber, comedian; just published in Dublin. [London]: Dublin printed; London reprinted for Jacob Robinson, 1743