There are 5 titles associated with this firm.

Cowley, Hannah. More ways than one: a comedy. As acted at the Theatre-Royal in Covent-Garden. By Mrs. Cowley. Dublin: The United Company of Booksellers, 1784.
Griffith, Elizabeth. The delicate distress, a novel: in letters. In two volumes. By Frances. Dublin: The United Company of Booksellers, 1787.