Inisherin is the second foal and first runner out of Ajman Princess (Teofilo), winner of the Gr.1 Prix Jean Romanet in France and second in the Gr.2 Ribblesdale S. in England, where she was also a stakes winner.

Second dam Reem Three (Mark Of Esteem) was a triple winner in Britain, placed at Listed level, and has 13 foals, ten of them winners. Her first, the unraced Rosaline (New Approach), is the dam of Rosallion (Blue Point), a Classic winner who also took the Gr.1 St James's Palace Stakes, and Ajman Princess was her second. All of her later foals have performed at black-type level, among them the sire Triple Time (Frankel), winner of the Gr.1 Queen Anne S., Ostilio (New Approach), a Group 2 winner, Cape Byron (Shamardal), winner of the Gr.3 Bengough S., the Group 1-placed Imperial Charm (Dubawi) and the Listed winners Third Realm (Sea The Stars) and Captain Winters (Lope De Vega).

Third dam Jumaireyah (Fairy King) won twice and has five other winners, the best of them Afsare (Dubawi), winner of the Gr.2 Celebration Mile.

Ajman Princess has an unraced 2-year-old colt, King Of Cities (Dubawi), and a yearling filly by Lope De Vega.