Question: Which baroque composer wrote for the King's Theatre in Haymarket?

Context articles: George Frideric Handel
Étienne Moulinié
Domenico Scarlatti
Johann Paul Schiffelholz
Haymarket Theatre (Leicester)
Theatre Royal Haymarket
Sosarme
Carlton Theatre
Gottfried Finger
Francesc Guerau

George Frideric (or Frederick) Handel ( ; born Georg Friedrich Händel ] ; 23 February 1685 (O.S.) [(N.S.) 5 March] – 14 April 1759) was a German, later British, baroque composer who spent the bulk of his career in London, becoming well known for his operas, oratorios, anthems, and organ concertos. Handel received important training in Halle and worked as a composer in Hamburg and Italy before settling in London in 1712; he became a naturalised British subject in 1727.
 He was strongly influenced both by the great composers of the Italian Baroque and by the middle-German polyphonic choral tradition.
Étienne Moulinié (10 October 1599 – 1676) was a French Baroque composer.
 He was born in Languedoc, and when he was a child he sang at the Narbonne Cathedral.
 Through the influence of his brother Antoine (died 1655), Moulinié gained an appointment at court, as the director of music for Gaston d'Orléans, the younger brother of the king.
 For this post he wrote sacred and secular music, for voice or voices and lute or continuo.
 He also wrote music to accompany the "ballet" or other dances.
 He taught Gaston's daughter, Mlle de Montpensier.
 Moulinié worked for Gaston until the latter's death in 1660, at which point he was forced to find new employment.
 For this he returned to his birthplace of Languedoc.
Giuseppe Domenico Scarlatti (Naples, 26 October 1685 Madrid, 23 July 1757) was an Italian composer who spent much of his life in the service of the Portuguese and Spanish royal families.
 He is classified primarily as a Baroque composer chronologically, although his music was influential in the development of the Classical style and he was one of the few Baroque composers to transition into the classical period.
 Like his renowned father Alessandro Scarlatti, he composed in a variety of musical forms, although today he is known mainly for his 555 keyboard sonatas.
Johann Paul Schiffelholz (13 March 1685 – 28 January 1758), was a German Baroque composer and an important composer for the variety of baroque lute called colascione, as well as writing the usual trio sonatas, etc., for the violin family of instruments.
 He was born in Heideck.
The Haymarket Theatre is a theatre in Leicester, England, based in the Haymarket Shopping Centre on Belgrave Gate in Leicester city centre.
 The Leicester City Council purchased a 99-year lease of the Haymarket Theatre on behalf of the public on 29 September 1974.
 The Leicester Theatre Trust operated the theatre from this date then vacated in 2007 in favour of the new Curve Theatre, Leicester on Halford Street.
 The Metal Tree sculpture by Hubert Dalwood, located at the front of the entrance to the Haymarket Theatre, is the only major piece of abstract sculpture in the city centre.
The Theatre Royal Haymarket (also known as Haymarket Theatre or the Little Theatre) is a West End theatre in the Haymarket in the City of Westminster which dates back to 1720, making it the third-oldest London playhouse still in use.
 Samuel Foote acquired the lease in 1747, and in 1766 he gained a royal patent to play legitimate drama (meaning spoken drama, as opposed to opera, concerts or plays with music) in the summer months.
 The original building was a little further north in the same street.
 It has been at its current location since 1821, when it was redesigned by John Nash.
 It is a Grade I listed building, with a seating capacity of 888.
 The freehold of the theatre is owned by the Crown Estate.
Sosarme, re di Media ("Sosarmes, King of Media", HWV 30) is an opera by George Frideric Handel written in 1732 for the King's Theatre in the Haymarket, London, where it ran for 12 performances.
 The text was based on an earlier libretto by Antonio Salvi, "Dionisio, Re di Portogallo" (Dionisius, King of Portugal), and adapted by an unknown writer.
 The original setting of Portugal was changed to Sardis in Lydia.
The Carlton Theatre was a London West End cinema owned by Paramount Pictures and operated by them until 1954 when it was leased to Twentieth Century Fox as their West End showcase for CinemaScope films.
 Fox continued to operate the Carlton until 1977 when they withdrew from cinema operations in London (they had also run the Rialto, Coventry Street).
 The cinema was taken over by Classic and the former stage area was sold for demolition and redevelopment.
 The auditorium was tripled and reopened on 11 January 1979 as the Classic Haymarket.
 Various changes in ownership resulted in name changes to Cannon, MGM, Virgin and UGC.
 The cinema is now called Cineworld Haymarket.
 The architects for the original theatre were Frank Verity and Sam Beverley.
 It is located at 63-65 Haymarket, London, SW1.
Gottfried Finger (ca. 1655-6 – buried 31 August 1730), also Godfrey Finger, was a Moravian Baroque composer.
 He was also a virtuoso on the Viol, and many of his compositions were for the instrument.
 He also wrote operas.
 Finger was born in Olomouc, modern-day Czech Republic, and worked for the court of James II of England before becoming a freelance composer.
 The fact that Finger owned a copy of the musical score of the work "Chelys" by the Flemish composer Carolus Hacquart suggests that the two composers may have worked together in England.
Francesc Guerau (1649 – 1717/1722) was a Spanish Baroque composer.
 Born on Majorca, he entered the singing school at the Royal College in Madrid in 1659, becoming a member of the Royal Chapel as an alto singer and composer ten years later.
 Named a member of the Royal Chamber of king Charles II of Spain in 1693, he also served as a teacher at the singing school until 1701.
 His best-known work is a collection of pieces for baroque guitar entitled "Poema harmónico" that was published in 1694.