Question: What are the two most important companies of actors in Renaissance London that William Allen belonged to?

Context paragraphs:
William Allen (actor): William Allen (died 1647) was a prominent English actor in the Caroline era.  He belonged to both of the most important theatre companies of his generation, Queen Henrietta's Men and the King's Men.

William (Orgain) Allen: William Orgain Allen ("William Orgain"; 1829–1875).  At age two, he inherited the 26000 acre Claremont Estate on the James River in Virginia from his granduncle Colonel William Allen (1768–1831).  To satisfy the terms of his inheritance, his name was officially changed to William Allen in 1832.

Zed Group: Zed Group is a large organization of privately held interlocking European companies that provide mobile phone and internet entertainment, film animation and video game production.  Besides the main company also named Zed, other important companies of Zed Group are Ilion Animation Studios –production company specialized in computer-generated animation feature films like Planet 51- and Pyro Studios –video game developer including “Commandos”.

William Allen High School: William Allen High School is one of two, large urban, public high schools of the Allentown School District located in Allentown, Pennsylvania, in the United States.  The school provides grades 9th through 12th.  In 2012, William Allen High School had a teaching staff of 200, yielding a student-teacher ratio of 15:1.

William Allen White Cabins: The William Allen White Cabins are chiefly associated with newspaper editor William Allen White, who adopted what would become Rocky Mountain National Park as his summer residence from 1912 to his death in 1944.  White had visited Estes Park, Colorado while in college, and had previously summered in Colorado Springs.  In 1912, White and his wife Sallie purchased an 1887 cabin near Estes Park.  The Whites expanded it the next year and built a privy, studio, and two guest cabins.

Joseph Allen (bishop): Joseph Allen, DD (1770–20 March 1845) was a British clergyman.  He was the son of William Allen and his wife Nelly Livesey.  William Allen (d.1792) was a partner in Manchester's first Bank, Byrom, Allen, Sedgwick and Place (founded 1771) but was made bankrupt in 1788 on the failure of the Bank.  This was despite inheriting £20,000 from his father, John Allen, of Davyhulme Hall, Eccles.

Linwood, North Carolina: Linwood is a small unincorporated community (ZIP Code 27299) just south of Lexington in Davidson County, North Carolina, United States.  The area contains operations of several important companies in Davidson County, including Keply Hardwood, Legget-Platt, PPG Industries, and Halyard Health.  Three major transportation systems serve the area: Interstate 85, the Davidson County Airport, and Norfolk Southern Railway's Spencer classification yard.  Linwood was named for the nearby plantation of William Rainey Holt (1798-1868), a physician and early innovator in farming techniques.  Part of the community (mainly the area industries) has been annexed by the city of Lexington.  Public High Schools that have districts that are in Linwood are Central Davidson High School and West Davidson High School.

Playing company: In Renaissance London, playing company was the usual term for a company of actors.  These companies were organized around a group of ten or so shareholders (or "sharers"), who performed in the plays but were also responsible for management.  The sharers employed "hired men" that is, the minor actors and the workers behind the scenes.  The major companies were based at specific theatres in London; the most successful of them, William Shakespeare's company the King's Men, had the open-air Globe Theatre for summer seasons and the enclosed Blackfriars Theatre in the winters.  The Admiral's Men occupied the Rose Theatre in the 1590s, and the Fortune Theatre in the early 17th century.

William Allen White Children's Book Award: The William Allen White Children's Book Award is a set of two annual awards for books selected by vote of Kansas schoolchildren from lists prepared by committee.  As a single award it was established in 1952 by Ruth Garver Gagliardo, a children's literature specialist at Emporia State University, which continues to direct the program.  It is named for William Allen White (1868–1944), long-time publisher and editor of "The Emporia Gazette".  The White Award is the oldest statewide children's choice book award in the United States.

Titus Pomponius: Titus Pomponius was a member of the "Gens Pomponia" and a direct descendant in male line of Pomponius, the first son of Numa Pompilius, the second King of Rome, and came from an old but not strictly noble Roman family of the equestrian class.  He was the owner of an excellent library in his house at the Appian Way, lord of a great fortune, partner of many companies of publicans and of important companies of fishing and conserves (essentially garum) in Gades, in Hispania, and of great properties in Illyricum.

Supporting paragraphs: William Allen (actor) Playing company
Answer: Queen Henrietta's Men and the King's Men