There are 14 titles associated with this firm.

Wells, Elizabeth. Poems and Dialogues on Various Subjects. London: Francis, Charles and John Rivington, Henry Law and Richard Gilbert, 1812.
Trimmer, Sarah. Some Account of the Life and Writings of Mrs. Trimmer, with Original Letters, and Meditations and Prayers, Selected from Her Journal. In two volumes. London: John Hatchard [190 Piccadilly], Francis, Charles and John Rivington, Joseph Johnson and Co., 1814.
Mant, Elizabeth. The Parent's Poetical Anthology: Being a Selection of English Poems, Primarily Designed to Assist in Forming the Taste and the Sentiments of Young Readers. London: Robert Baldwin, Charles Cradock, and William Joy, Sherwood, Neely, and Jones, Charles Law, Francis, Charles and John Rivington, John Richardson [Royal Exchange], Joseph Mawman [Ludgate], 1814.
Trimmer, Sarah. A Selection from Mrs. Trimmer's Instructive Tales, etc. London: Francis, Charles and John Rivington, 1815.