She was by the multiple Group One (G1) winner, Caro, her dam, Moonmadness was by the good American racehorse and sire, Tom Fool.
Retired undefeated to serve as a broodmare for her owner, between 1980 and 1991 Madelia produced ten foals.
While at stud, she was bred to leading sires including Northern Dancer, Affirmed, Exclusive Native, Spectacular Bid, El Gran Senor, Nureyev, Blushing Groom, Chief's Crown, and Alysheba.
Marignan (Blushing Groom) came closest to emulating his classic winning dam when finishing second in the 1992 Prix du Jockey Club while Moonlight Dance (Alysheba) became the broodmare's sole Group One winner when taking the Prix Saint-Alary in 1994 - a race won by Madelia seventeen years earlier.
Madelia also found success as a grand-dam with the aforementioned Moonlight Dance producing Millionaia, runner up in the 2004 Prix de Diane, and Fencing Master, second in the 2009 Dewhurst Stakes.