Question: The Four-Inch Course name was derived from regulations adopoted by a British private club which formerly owned what kind of company?

Context paragraphs:
Inverness Club: Inverness Club, a private club, located in Toledo, Ohio has forged a place of distinction in professional golf history.  Opening in 1903, the club has been the site of eleven championships, including four U.S. Opens and two PGA Championships.  It also hosted the Inverness Invitational Four-Ball from 1935 to 1954.  Byron Nelson who served as head golf professional from 1940 to 1944 recognized Inverness Club as his “home course.”  S.P. Jermain, the club’s founder and first Board President, was credited with conceiving the idea for the Ryder Cup.  The championship course was designed by the renowned architect, Donald Ross.  Inverness Club will be the host site for the 2019 U.S. Junior Amateur and the 2021 Solheim Cup.

Baker's Bay Golf &amp; Ocean Club: Baker's Bay Golf & Ocean Club is a private resort community in the Northeastern Bahamas.  The development is located near Baker's Bay in Great Guana Cay situated between the Sea of Abaco and the Atlantic Ocean.  The 585 acre project is a resort development of 385 homes.  Developed by Discovery Land Company, the project will include a Tom Fazio-designed 18 hole golf course, 200-slip marina, Marina Village resort area, and a private club that includes beach club and spa.

Players Theatre Columbus: Players Theatre Columbus was a professional resident theatre company based in Columbus, Ohio.  Founded as the Players Club by Agnes Jeffrey Shedd in 1923, the company originated as a private club for local theatre enthusiasts.  Over the course of 70 years, the organization evolved into a public community theatre, and finally into a professional resident theatre under contract to Actors' Equity.  In 1989, the company moved its operations into the Vern Riffe Center for Government and the Arts, having formerly occupied the Davis Discovery Center on Franklin Avenue.

Four Inch Course: The Four-Inch Course was a road-racing circuit first used for the 1908 Tourist Trophy Race for cars, held on public roads closed for racing by an Act of Tynwald (the parliament of the Isle of Man).  The name of the course derives from the regulations for the 1908 Tourist Trophy adopted by the Royal Automobile Club, which limited the competitors' engines to a cylinder-diameter of four inches.  The Four-Inch Course was adopted by the Auto-Cycle Club for the 1911 Isle of Man TT Races.  The Four-Inch Course was subsequently known as the Snaefell Mountain Course or Mountain Course when used for motor-cycle racing.

Hyannisport Club: The Hyannisport Club is a private club with an 18 hole golf course, located at 2 Irving Avenue (at Scudder Avenue) in Hyannis Port, Massachusetts.  The club was founded in 1897 and the golf course was finalized in 1903.  The course is an original Donald Ross design which plays 6,257 yards from the blue tee markers.  While the course is short in terms of yardage, it is often called "the toughest 6200 yards in golf" because of the famous Hyannisport wind which usually blows directly off of Nantucket Sound.  The club boasts some of the most scenic views on Cape Cod and is known for having water visible on every hole although coincidentally, there are no water hazards on the course.  The course is located adjacent to the Kennedy Compound and the Kennedy family have long been members of the club.

Royal Automobile Club: The Royal Automobile Club is a British private club and is not to be confused with RAC, an automotive services company, which it formerly owned.

Gynaeconomi: Gynaeconomi (Greek: γυναικονόμοι ) were magistrates at Athens, who superintended the conduct of Athenian women.  (Pollux, viii.  112.)  We know little of the duties of these officers, and even the time when they were instituted is not quite certain.  Bockh (de Philoch.  p. 24) has endeavoured to show that they did not exist until the time of Demetrius Phalereus, whereas, according to others, they were instituted by Solon, whose regulations concerning the female sex certainly rendered some special officers necessary for their maintenance.  (Plut.  Sol.  21 ; comp.  Thirl wall, Hist, of Greece, vol.  ii.  p. 51.)  Their name is also mentioned by Aristotle (Pol.  iv.  12.  p. 144, and vi.  5.  p. 214.  ed.  Gottling) as something which he supposes to be well known to his readers.  These circumstances lead us to think that the Gynaeconomi as the superintendents of the conduct of women, existed ever since the time of Solon, but that their power was afterwards extended in such a manner that they became a kind of police for the purpose of preventing any excesses or indecencies, whether committed by men or by women.  (See the Fragm.  of Timocles and Menander, ap.  Athen.  vi.  p. 245, where a.. .  is mentioned as the source from which they derived their increased power ; compare Plut.  Sol.  21.  in fin.)  In their first and original capacity, therefore, they had to see that the regulations concerning the conduct of Athenian women were observed, and to punish any transgressions of them.  In the latter capacity, they seem to have acted as ministers of the Areopagus, and as such had to take care that decency and moderation were observed in private as well as in public.  Hence they superintended even the meetings of friends in their private houses, e. g. at weddings, and on other festive occasions.  (Philoch.  ap.  Athen, vi.  p. 245.)  Meetings of this kind were not allowed to consist of more than thirty persons, and the Gynaeconomi had the right to enter any house and send away all the guests above that number ; and that they might be able, previous to entering a house, to form an estimate of the number of persons assembled in it, the cooks who were engaged for the occasion had to give in their names.  (Athen.  I. c.)

National Golf Links of America: National Golf Links of America is a prestigious links-style golf course in Southampton, New York, located on Long Island between Shinnecock Hills Golf Club and Peconic Bay.  Though the course is noted for hosting the initial Walker Cup in 1922, which the United States won 8 and 4, it has never hosted a major men's championship.  The Walker Cup was again held at National in 2013.  The private club has been called "America's snootiest golf course" due to its exclusive nature.

Winged Foot Golf Club: Winged Foot Golf Club is a private club with two 18-hole golf courses located in Mamaroneck, New York.  The course architect is A. W. Tillinghast, who also designed Baltusrol (Lower), Bethpage Black, Suburban Golf Club, Shackamaxon Country Club, San Francisco Golf Club, Cedar Crest Park, and nearby Quaker Ridge Golf Club, Scarboro Golf and Country Club in Toronto and Wykagyl Country Club.  Winged Foot Golf Club was founded in 1921, by a consortium consisting mainly of members of The New York Athletic Club.  The club gets its name and logo from the NYAC's logo, but the two have never had any direct affiliation.  Opened in June 1923, application for membership to Winged Foot G.C. is by invitation only.

Royal Calcutta Turf Club: The Royal Calcutta Turf Club (RCTC), founded in 1847 in Calcutta, British India (now Kolkata, India), became the premier horse racing organization in India during the British Raj.  At one time it was the governing body for almost all courses in the sub-continent, defining and applying the rules that governed the sport.  During its heyday the races it organized were among the most important social events of the calendar, opened by the Viceroy of India.  During the 1930s the Calcutta Derby Sweeps, organized by the club, was the largest sweepstake in the world.  It is still an exclusive private club and still operates the Kolkata Race Course.

Supporting paragraphs: Four Inch Course Royal Automobile Club
Answer: automotive services company