He is also called Gascoigne's Arabian in the pedigree of Dr. Waugh's Young Cade Mare [GSB1:52] and he belonged to the 4th (Sir Thomas), 5th (Sir John) and 6th (Sir Edward) baronets.

Gascoigne's Foreign Horse earned his place in history as the sire of Daffodil's Dam. Daffodil's Dam (f 1715c), tapoot of Family 20, was owned and bred by Sir Thomas, 4th baronet (1659-1718). Although she belonged briefly to his brother, Sir John, 5th baronet (1662-1723), her stud career would have been managed by Sir Edward, 6th baronet, who lived until 1750. She produced Lord Portmore's Daffodil (ch 1725 Bald Galloway), said to be a high class stayer, and Mr. Durham's Favourite (gr f 1728 Bald Galloway Colt), who won the Royal Plate at Hambleton in 1733 beating twenty other entries. Family 20 descends from the latter mare, Favourite.

The Gascoigne stud, located at Parlington, between Aberford and Leedes, in Yorkshire, gained prominence under the custodianship of a descendant, Sir Thomas, 8th baronet (1743-1810). He bred the fine mare, Violet (ch f 1787 Shark), who produced at least thirteen foals, of whom six were good winners. They included the St. Leger winner, Symmetry (gr c 1795 Delpini), and the Oaks winner, Theophania (b f 1800 Delpini), also Thomasina (ch f 1804 Timothy) who won the Doncaster Stakes and was the third dam of the St. Leger winner, Jerry (bl c 1821 Smolensko), Tooee (ch f 1799 Buzzard) who won a King's Plate and placed third in the Oaks, and Slapbang (ch c 1796 Delpini) who came in third in the St. Leger. Another daughter, Golden Locks (ch f 1793 Delpini), produced the St. Leger winner and Champion Sire Soothsayer (ch c 1808 Sorcerer). Sir Thomas also bred and raced the St. Leger winner, Hollandaise (gr f 1775 Matchem), whose half-sister Gunilda (gr f 1777 Star) was sent to Virginia, and raced the St. Leger winner Tommy (ch c 1776 Wildair), who was half-brother to his broodmare, Violet.

Richard Oliver Gascoigne, son-in-law of the last Sir Thomas, is recorded as the breeder of Soothsayer, who was later sold to Lord Foley and eventually sent to Russia. Richard Gascoigne also bred Louisa (br f 1813 Orville), a daughter of Thomasina, who produced the St. Leger winner, Jerry, and the Champion Stakes winner Jessy (ch f 1824 Comus).