There are 6 titles associated with this firm.

Trimmer, Sarah. Fabulous histories, designed for the instruction of children, respecting their treatment of animals. By Mrs. Trimmer. Dublin: Patrick Wogan [23 Old Bridge], Patrick Byrne II [South King Street], James Moore [Dublin], John Jones [College Green], William Watson I, John Cash [Capel Street], William McKenzie [Dame Street], Robert Marchbank [Dame Street], William Wilson [6 Dame Street] [1763–66; 1768–95], Thomas Heery, William Porter [Skinner Row], William Colles [17 New Buildings, Dame Street], Luke White [Dame Street], 1786.
More, Hannah. Florio: A tale, for fine gentlemen and fine ladies: and, the bas bleu; or conversation: two poems. Dublin: James Moore [Dublin], John Cash [Capel Street], William McKenzie [Dame Street], Patrick Byrne I [Grafton Street], Thomas Heery, William Colles [17 New Buildings, Dame Street], Luke White [Dame Street], 1786.
Cowley, Hannah. A School for Greybeards; or, The Mourning Bride: a Comedy, in five acts. As performed at the Theatre Royal, Drury Lane. By Mrs. Cowley. Dublin: Patrick Wogan [23 Old Bridge], James Moore [Dublin], John Halpen (also Halpin) [Henry Street], Harriet Colbert [136 Capel Street], William Watson I, John Beatty [Skinner Row], John Cash [Capel Street], George Perrin [10 Castle Street], George Burnet [Abbey Street], Thomas Wilkinson (I), William Wilson [6 Dame Street] [1763–66; 1768–95], James Williams [Dame Street], William Gilbert [26 South Great George's Street], William Sleater I [North Strand], Patrick Byrne I [College Green], Richard Lewis [Capel Street], William Porter [Skinner Row], Thomas Heery, John Exshaw II [98 Grafton Street], William Colles [17 New Buildings, Dame Street], William and Henry Whitestone, John Jones [Grafton Street], 1787.
Piozzi, Hester L. T. Observations and reflections made in the course of a journey through France, Italy, and Germany. By Hester Lynch Piozzi. Dublin: Patrick Wogan [23 Old Bridge], James Moore [Dublin], William Jones I [Dame Street], Thomas Heery, Patrick Byrne I [Grafton Street], Bernard Dornin [College Green], Hannah Chamberlaine, Luke White [Dame Street], Grueber and McAllister, 1789.
Lee, Sophia. The recess; or, a tale of other times. By the author of The chapter of accidents. Dublin: James Moore [Dublin], Harriet Colbert [136 Capel Street], George Burnet [Abbey Street], William Sleater II [Dame Street], Thomas Heery, Patrick Byrne I [Grafton Street], 1791.