Haffner is the better of two winners out of Earth Strike (Zoffany), a winner who was later stakes-placed in the US, where she was placed in three of her eight starts.

Second dam Another Storm (Gone West) won one race and produced 11 winners from 12 runners. They include Order Of St George (Galileo), a triple Group 1 winner whose victories included the Gr.1 Ascot Gold Cup and the Gr.1 Irish St Leger twice and who became a sire, Asperity (War Chant), a Group 3 winner and sire, Angel Terrace (Ghostzapper), winner of the Grade 3 Pin Oak Valley View Stakes in the US, and the Listed winner Sehoy (Menifee).

Third dam Storm Song (Summer Squall), champion two-year-old filly in the US in 1996, was a dual Grade 1 winner whose wins included the Grade 1 Breeders' Cup Juvenile Fillies. She produced six winners, among them Trojan Nation (Street Cry), a winner who was placed at Group 1 level and became a sire.

Earth Strike has a yearling filly by Not This Time and a filly foal of 2026, a full sister to Haffner. She was covered by Nyquist this year but is barren.