Question: In which state is this ranch located where Old Sorrel was its foundation linebreeding program for Quarter Horses?

Context paragraphs:
Big Red Ranch Complex: The Big Red Ranch Complex is a historic ranch located off U.S. Routes 14 and 16 in Ucross.  The ranch was built circa 1882 by the Pratt & Ferris Cattle Company and was one of three large ranches operated by the company in the region.  The ranch acquired its name because all of its main buildings were painted red; at the time, most ranches lacked permanent buildings entirely, much less painted ones.  Pratt & Ferris became one of the most successful cattle ranching companies in the area by the end of the decade, as they bought out most other local ranches and even established a post office at the Big Red Ranch.  In the 1890s, the ranch largely converted to raising sheep.  In 1906, company owner Joseph Leiter turned the ranch into an irrigated farm; in the following years, the ranch briefly reverted to cattle ranching before Leiter leased it to sugar beet farmers.  Leiter ultimately sold the ranch in 1949.

G. R. Carter: George Robert "G. R." Carter, Jr. (born February 6, 1968) is a professional American Quarter Horse jockey.  On June 1, 2008, he became the all-time leading money earning jockey in American Quarter Horse racing history surpassing the previous record of $41,405,207 in mount earnings.  He continued to add to the record, finishing his career with $70,529,643 in mount earnings.  On July 6, 2013, Carter became the jockey with the most mounts in AQHA racing history after he piloted his 22,294th horse.  Carter finished his career with 23,970 mounts, all aboard American Quarter Horses.  On May 23, 2014, Carter became the all-time leader in wins aboard American Quarter Horses when he won his 3,632nd race passing Alvin "Bubba" Brossette.  He finished his career with 3,805 wins.

Quarab: The Quarab is a horse breed from the United States, developed from a part-Arabian cross of Arabian horses, American Quarter Horses and Paint horses. Members of the breed are found that resemble all three of the foundation breeds, leading to three recognized types: Straight or Foundation (an even cross between the Arabian and stock horse types), Stock (a heavier emphasis on stock horse breeding) and Pleasure (a heavier emphasis on Arabian breeding).  Although there have been records of crosses between the three breeds throughout the history of their respective registries, the first Quarab registry was formed in 1984, but later went out of business.  In 1999, the International Quarab Horse Association was formed and remains the leading force in Quarab breeding.  In order to be registered with the IQHA, horses must have at least 1/8 blood from both the Arabian and stock horse types.

Waggoner Ranch: The Waggoner Ranch is an historic north Texas ranch located 13 miles south of Vernon, Texas.  The land was used primarily to raise crops, beef cattle and horses as well as for oil production.  It was notable for being the largest ranch under one fence in the United States.  It was originally established in 1852 near Vernon, Texas by Daniel Waggoner under the name of Dan Waggoner & Son; his son being William Thomas Waggoner.  It was acquired by Stan Kroenke, who is married to Ann Walton (niece of Sam Walton), in February 2016.  At the time of acquisition, the ranch comprised 520,527 acres , or 800 mi2 but additional acreage was included in the sale making the total closer to 535,000 acres .

Quarter pony: The Quarter Pony is a breed of pony that is similar to the American Quarter Horse.  It stands up to  hands high and was developed from American Quarter Horse foundation bloodstock.  The breed was originally developed from Quarter Horses that did not meet the American Quarter Horse Association's height requirement.  It is bred to look like a small Quarter Horse, although the various registries also allow crosses with other breeds, including Paint horse, Appaloosa and Pony of the Americas, all stock types.  There are three registries for the Quarter Pony, all with slightly different registration requirements.  The first registry was begun in 1964, and two more were started in the 1970s.  The breed is used today in a variety of Western riding disciplines.

King Ranch: King Ranch, located in South Texas between Corpus Christi and Brownsville near Kingsville, is the largest ranch in Texas.  The King Ranch comprises 825000 acre and was founded in 1853 by Captain Richard King and Gideon K. Lewis.  It includes portions of six Texas counties, including most of Kleberg County and much of Kenedy County, with portions extending into Brooks, Jim Wells, Nueces, and Willacy Counties.  The ranch does not consist of one single contiguous plot of land, but rather four large sections called divisions.  The divisions are the Santa Gertrudis, the Laureles, the Encino and the Norias.  Only the first two of the four divisions border each other, and that border is relatively short.  The ranch was designated a National Historic Landmark in 1961.

Quarter Circle A Ranch: The Brinton Museum located on the Quarter Circle A Ranch and formerly known as the Bradford Brinton Memorial Museum, is a museum and historic ranch located 2 mi southwest of Big Horn, Wyoming.  The ranch was built in 1893 by William Moncreiffe, a Scottish immigrant and successful businessman.  In 1923, Bradford Brinton bought the ranch from Moncreiffe and expanded it to its current appearance.  Brinton collected art and historical materials, particularly those relating to Native American history; after his death in 1936, his sister Helen converted the ranch to a museum displaying his collections.

Chico Basin Ranch: The Chico Basin Ranch is a working cattle ranch thirty minutes southeast of Colorado Springs, Colorado.  The Chico Basin is owned by the Colorado State Land Board, and managed by Ranchlands, Duke and Janet Phillips' family based ranch management company.  The cattle raised on the ranch are grass fed and no hormones added.  Working cowboys tend to the cattle primarily using quarter horses born and trained on the ranch.  The Chico Basin now has a horse sanctuary for old or injured horses.  Not only is the Chico Basin a working cattle ranch, it is also a wildlife preserve.  The Chico Basin works with the Rocky Mountain Bird Observatory to band migratory birds.  This activity is also open to schools and universities to come and learn about birds.  Free programs are offered to all ages of children and adults to learn about wildlife and ranch life.

Jack Brizendine: Jack David Brizendine (January 8, 1944 – November 30, 2015) was an American horseman and professional trainer of American Quarter Horses, most notable for having earned 7 world champion titles in 3 different breed associations, and also for having trained or sold 22 world champions.  A member of the American Quarter Horse Association, Brizendine began his horse show career competing in stock horse competitions and arena performance events including working cow horse, reining, western riding and western pleasure.  He trained horses on his ranch in Lincoln in Northern California.

Old Sorrel: Old Sorrel, sometimes known as The Old Sorrel, (1915–1945) was a Quarter Horse stallion who was the foundation of the King Ranch linebreeding program for Quarter Horses, and the cornerstone of the King Ranch horse breeding program.

Supporting paragraphs: Old Sorrel King Ranch
Answer: South Texas