Shergar stand him at the Ballymany Stud in Ireland. He arrived in October 1981, and was paraded down the main street of Newbridge, County Kildare. Milton Toby, the writer on Thoroughbred racing and equine law, judges Shergar to have been "a national hero in Ireland. ... one of the most recognizable sports personalities—horse or human—in Ireland." In 1982—his only rutting season—Shergar covered 44 mares, from which 36 foals were produced: 17 colts and 19 fillies. Of these, three won Group races, and the most successful of his progeny was Authaal. When sold as a weanling (between six months and a year)
Woodburn Stud Alexander bred Preakness who would be purchased by Milton H. Sanford and for whom the Preakness Stakes is named. The American Classic Race winners bred by the Alexanders' Woodburn Stud are: Today the Woodburn name is long gone but the horse breeding business was revived in 1972 as Airdrie Stud Inc. which now operates on , much of which is part of the original Woodburn Stud lands. Airdrie Stud, Inc. is owned by former Kentucky Governor Brereton Jones and his wife Libby. Mrs. Jones is a descendant of the Alexander family. In 2000, the Airdrie-bred filly Caressing won the Breeders'