There are 4 titles associated with this firm.

More, Hannah. An estimate of the religion of the fashionable world. By one of the laity. The third edition. Dublin: Patrick Wogan [23 Old Bridge], James Moore [Dublin], William Jones I [Dame Street], Patrick Byrne I [Grafton Street], John Rice [5 College Green], George Draper, Randal McAllister [Dame Street], Arthur Grueber [59 Dame Street], John Jones [Grafton Street], R. White [Dublin], 1791.
Rowson, Susanna. Mentoria; or the young lady's friend: by Mrs. Rowson. Dublin: Patrick Wogan [23 Old Bridge], James Moore [Dublin], John Halpen (also Halpin) [Henry Street], Arthur Grueber [59 Dame Street], Randal McAllister [Dame Street], 1791.
Inchbald, Elizabeth. Next Door Neighbours; A Comedy; In Three Acts. From the French Dramas L'Indigent & Le Dissapateur. As performed at the Theatre-Royal, Hay-Market. By Mrs. Inchbald. Dublin: James Moore [Dublin], John Halpen (also Halpin) [Henry Street], William Jones I [Dame Street], John Rice [5 College Green], William Sleater II [Dame Street], Patrick Byrne I [Grafton Street], Randal McAllister [Dame Street], William Porter [Skinner Row], James Mehain (also Mehan) [Great Britain Street], Arthur Grueber [59 Dame Street], John Jones [Grafton Street], Richard Martin Butler [31 Grafton Street], R. White [Dublin], 1791.