There are 4 titles associated with this firm.

Unknown, [Woman]. The Mystic Cottager of Chamouny: a novel. Dublin: James Potts, Harriet Colbert [136 Capel Street], Patrick Byrne II [Anglesea Street], 1795.
Nicklin, Susan. Address to a young lady on her entrance into the polite world. In two volumes. ... Dublin: Patrick Wogan [23 Old Bridge], William Jones I [Dame Street], John Rice [2 College Green], Patrick Byrne II [Anglesea Street], 1796.
de Saint-Pierre, Jacques-Henri Bernardin. Paul and Virginia. Translated from the French of Bernardin Saint-Pierre; by Helen Maria Williams. The third edition. Dublin: Patrick Wogan [23 Old Bridge], William Jones I [Dame Street], John Archer [80 Dame Street], Patrick Byrne II [Anglesea Street], 1796.
de Saint-Pierre, Jacques-Henri Bernardin. Paul and Virginia. Translated from the French of Brenardin [sic] Saint-Pierre; by Helen Maria Williams. The third edition. Dublin: Patrick Wogan [23 Old Bridge], James Moore [Dublin], William Jones I [Dame Street], John Archer [80 Dame Street], Patrick Byrne II [Anglesea Street], 1796.