Anonymous, Verses Address'd to the Imitator of the First Satire of the Second Book of Horace, "By a lady", has been attributed to Lady Mary Wortley Montagu[1]
Thomas Newcomb, The Woman of Taste, published anonymously, but "attribution to Newcomb is probable", according to The Concise Oxford Chronology of English Literature (occasioned by James Bramston's The Man of Taste, see above)[1]
The Life and Genuine Character of Doctor Swift (see also Verses on the Death of Dr. Swift1739 — Swift did not die until 1745)
On Poetry: A Rhapsody, published anonymously (see also A Rap at the Rhapsody1734)[1]
Other
Jean-Baptiste-Louis Gresset, Ver-Vert, about a parrot at a convent who shocks listeners with his bad language (some sources give the year of publication as 1734); France[2]
Births
Death years link to the corresponding "[year] in poetry" article:
March 18 – Christoph Friedrich Nicolai (died 1811), German writer, publisher, critic, author of satirical novels, regional historian, and a key figure of the Enlightenment in Berlin