Question: Was Troilus and Cressida and Oberon written by the same person?

Context articles: Troilus and Cressida
Cressida
Cressida (moon)
Al Freeman Jr.
Il Filostrato
Shakespearean problem play
The Testament of Cresseid
Oberon (Weber)
Troilus and Cressida (opera)
The Face of Love (1954 film)

Troilus and Cressida ( ) is a tragedy by William Shakespeare, believed to have been written in 1602.
 It was described by Frederick S. Boas as one of Shakespeare's problem plays.
 The play ends on a very bleak note with the death of the noble Trojan Hector and destruction of the love between Troilus and Cressida.
 The work has in recent years "stimulated exceptionally lively critical debate".
 Throughout the play, the tone lurches wildly between bawdy comedy and tragic gloom, and readers and theatre-goers have frequently found it difficult to understand how one is meant to respond to the characters.
 However, several characteristic elements of the play (the most notable being its constant questioning of intrinsic values such as hierarchy, honour and love) have often been viewed as distinctly "modern," as in the following remarks on the play by author and literary scholar Joyce Carol Oates:
Cressida ( ; also Criseida, Cresseid or Criseyde) is a character who appears in many Medieval and Renaissance retellings of the story of the Trojan War.
 She is a Trojan woman, the daughter of Calchas, a Greek seer.
 She falls in love with Troilus, the youngest son of King Priam, and pledges everlasting love, but when she is sent to the Greeks as part of a hostage exchange, she forms a liaison with the Greek warrior Diomedes.
 In later culture she becomes an archetype of a faithless lover.
Cressida ( , Greek: Χρησίδα ) is an inner satellite of Uranus.
 It was discovered from the images taken by "Voyager 2" on 9 January 1986, and was given the temporary designation S/1986 U 3.
 It was named after Cressida, the Trojan daughter of Calchas, a tragic heroine who appears in William Shakespeare's play "Troilus and Cressida" (as well as in tales by Geoffrey Chaucer and others).
 It is also designated Uranus IX.
Albert Cornelius "Al" Freeman Jr. (March 21, 1934 – August 9, 2012) was an American actor, director, and educator.
 A life member of The Actors Studio, Freeman appeared in a wide variety of plays, ranging from Leroi Jones' "Slave/Toilet" to Joe Papp's revivals of "Long Day's Journey Into Night" and "Troilus and Cressida", and films, including "My Sweet Charlie", "Finian's Rainbow", and "Malcolm X", as well as television series and soap operas, such as "One Life to Live", "The Cosby Show", "Law & Order", "" and "The Edge of Night".
Il Filostrato is a poem by the Italian writer Giovanni Boccaccio, and the inspiration for Geoffrey Chaucer's "Troilus and Criseyde" and, through Chaucer, the Shakespeare play "Troilus and Cressida".
 It is itself loosely based on "Le Roman de Troie", by 12th-century poet Benoît de Sainte-Maure.
In Shakespeare studies, the problem plays are three plays that William Shakespeare wrote between the late 1590s and the first years of the seventeenth century: "All's Well That Ends Well", "Measure for Measure" and "Troilus and Cressida".
 Shakespeare's problem-plays are characterised by their complex and ambiguous tone, which shifts violently between dark, psychological drama and more straightforward comic material; compare tragicomedy.
The Testament of Cresseid is a narrative poem of 616 lines in Middle Scots, written by the 15th-century Scottish makar Robert Henryson.
 It is his best known poem.
 It imagines a tragic fate for Cressida in the medieval story of "Troilus and Criseyde" which was left untold in Geoffrey Chaucer's version.
 Henryson's cogent psychological drama, in which he consciously resists and confronts the routine depiction of Cressida (Cresseid) as simply 'false', is one of the features that has given the poem enduring interest for modern readers and it is one of the most admired works of northern renaissance literature.
 A modern English translation by Seamus Heaney, which also included seven of Henryson's fables from "The Morall Fabillis", was published in 2009.
Oberon, or The Elf King's Oath is a 3-act romantic opera in English with spoken dialogue and music by Carl Maria von Weber.
 The libretto by James Robinson Planche was based on a German poem, "Oberon", by Christoph Martin Wieland, which itself was based on the epic romance "Huon de Bordeaux", a French medieval tale.
Troilus and Cressida is the first of the two operas by William Walton.
 The libretto was by Christopher Hassall, his own first opera libretto, based on Geoffrey Chaucer's poem "Troilus and Criseyde".
 Walton dedicated the score to his wife, Susana.
The Face of Love is a 1954 BBC TV movie produced and directed by Alvin Rakoff, and adapted from "Troilus and Cressida" as a modern-language and modern-dress drama by Ian Dallas, a RADA graduate later better known as a scholar of sufism.
 This was only Dallas' second play, but won him a contract with BBC, where he stayed till the mid-60s.
 The 90 minute drama was broadcast on October 5.