Question: Who wrote the music for the muscial based on L. Frank Baum's book whose title is commonly shortened to The Land of Oz?

Context paragraphs:
L. Frank Baum's Juvenile Speaker: L. Frank Baum's Juvenile Speaker: Readings and Recitations in Prose and Verse, Humorous and Otherwise is an anthology of literary works by L. Frank Baum, author of the Oz books.  The book was first published in 1910, with illustrations by veteran Baum artists John R. Neill and Maginel Wright Enright; a subsequent 1912 edition was retitled Baum's Own Book for Children.  The book constitutes a complex element in the Baum bibliography.

Tin Woodman: The Tin Woodman, better known as either the Tin Man or (incorrectly) the Tin Woodsman (the third name appears only in adaptations, the first—and in rare instances, the second—was used by Baum), is a character in the fictional Land of Oz created by American author L. Frank Baum.  Baum's Tin Woodman first appeared in his classic 1900 book "The Wonderful Wizard of Oz", and reappeared in many other Oz books.  In late 19th-century America, men made out of various tin pieces were used in advertising and political cartoons.  Baum, who was editing a magazine on decorating shop windows when he wrote "The Wonderful Wizard of Oz", was reportedly inspired to invent the Tin Woodman by a figure he had built out of metal parts for a shop display.

The Dreamer of Oz: The L. Frank Baum Story: The Dreamer of Oz: The L. Frank Baum Story is a 1990 made-for-television biographical film starring John Ritter as Lyman Frank Baum, the man who wrote "The Wonderful Wizard of Oz" and thirteen of the other Oz books.  Also starring in this TV movie was Annette O'Toole as Baum's supportive wife, Maud, and Rue McClanahan as Baum's tough mother-in-law, Matilda Gage.  John's son, Jason Ritter, makes his debut in this telefilm as Harry Neal Baum.  At the time of the film's debut, O'Toole and Ritter also starred in "It", a TV miniseries where they played a couple.

The Woggle-Bug (musical): The Woggle-Bug is a musical based on "The Marvelous Land of Oz" by L. Frank Baum, with book and lyrics by the author and music by Frederic Chapin that opened June 18, 1905 at the Garrick Theater in Chicago under the direction of Frank Smithson, a Shubert Organization employee.  The musical was a major critical and commercial failure, running less than a month.  Chapin, however, had proven quite saleable to the publisher, M. Witmark and Sons, and many of the songs were published.  The music director was Frank Pallma.  The surviving sheet music was published by Hungry Tiger Press in 2002.

Glinda of Oz: Glinda of Oz is the fourteenth Land of Oz book written by children's author L. Frank Baum, published on July 10, 1920.  It is the last book of the original Oz series, which was later continued by other authors.  Like most of the Oz books, the plot features a journey through some of the remoter regions of Oz; though in this case the pattern is doubled: Dorothy and Ozma travel to stop a war between the Flatheads and Skeezers; then Glinda and a cohort of Dorothy's friends set out to rescue them.  The book was dedicated to Baum's second son, Robert Stanton Baum.

Plays of L. Frank Baum: The plays of L. Frank Baum are an important aspect of Baum's writing career about which some of the least is known.  While even most brief biographies, long before the Internet, have noted Baum's work as a playwright, these works have been rarely performed beyond his lifetime, and almost none have been published aside from two scenarios and a first act of three unfinished works in "The Musical Fantasies of L. Frank Baum", compiled with an introduction by Alla T. Ford.  Aside from his youthful success with "The Maid of Arran", his blockbuster eight-year run with "The Wizard of Oz", his failure with "The Woggle-Bug", and "The Tik-Tok Man of Oz" as source material for his novel, "Tik-Tok of Oz", very little is known about his dramatic output, and mostly from the publications of Michael Patrick Hearn, Susan Ferrara, and Katharine M. Rogers.  Hearn identifies 41 different titles in the bibliography of the 2000 edition of "The Annotated Wizard of Oz", plus one play without a title, although some of these titles clearly refer to drafts of the same play, such as the early titles of "The Tik-Tok Man of Oz".

List of Oz books: The Oz books form a book series that begins with "The Wonderful Wizard of Oz" (1900) and relate the fictional history of the Land of Oz.  Oz was created by author L. Frank Baum, who went on to write fourteen full-length Oz books.  All of the Baum written books are in the public domain in the United States.  Even while he was alive, Baum was styled as "the Royal Historian of Oz" to emphasize the concept that Oz is an actual place.  The illusion created was that characters such as Dorothy and Princess Ozma related their adventures in Oz to Baum themselves, by means of wireless telegraph.

The Royal Book of Oz: The Royal Book of Oz (1921) is the fifteenth in the series of Oz books, and the first by Ruth Plumly Thompson, to be written after L. Frank Baum's death.  Although Baum was credited as the author, it was written entirely by Thompson.  Beginning in the 1980s, some editions have correctly credited Thompson, although the cover of the 2001 edition by Dover Publications credits only Baum.  The original introduction claimed that the book was based on notes by Baum, but this has been disproved.  Baum's surviving notes, known as "An Oz Book" are known from four typewritten pages found at his publisher's, but their authenticity as Baum's work has been disputed.  Even if genuine, they bear no resemblance to Thompson's book.

The Marvelous Land of Oz: The Marvelous Land of Oz: Being an Account of the Further Adventures of the Scarecrow and the Tin Woodman, commonly shortened to The Land of Oz, published on July 5, 1904 , is the second of L. Frank Baum's books set in the Land of Oz, and the sequel to "The Wonderful Wizard of Oz" (1900).  This and the next 34 Oz books of the famous 40 were illustrated by John R. Neill.  The book was made into an episode of "The Shirley Temple Show" in 1960, and into a Canada/Japan co-produced animated series of the same name in 1986.  It was also adapted in comic book form by Marvel Comics, with the first issue being released in November 2009.  Plot elements from "The Marvelous Land of Oz" are included in the 1985 Disney feature film "Return to Oz".

Nathaniel D. Mann: Nathaniel D. Mann was an American composer best known for his work with L. Frank Baum.  He composed at least two songs with Baum, "Different Ways of Making Love" and "It Happens Ev'ry Day," and another with John Slavin, "She Didn't Really Mind the Thing at All," for "The Wizard of Oz" stage musical in 1902, and in 1908, composed the first original film score (27 cues) for "The Fairylogue and Radio-Plays", one of the earliest feature-length fiction films (and the earliest film adaptations of the novels "The Wonderful Wizard of Oz", "The Marvelous Land of Oz", "Ozma of Oz", "John Dough and the Cherub", and "Dorothy and the Wizard in Oz", presented by Baum himself), which debuted September 24, 1908.  With Baum, he also composed the musical "The King of Gee-Whiz" (dated February 23, 1905), which went through various titles such as "Montezuma" (November 1902), "King Jonah XIII" (September 1903), and "The Son of the Sun" (1905).  This was collaboration with and based on a novel by Emerson Hough, which was never completed and the extant scenario published in 1969.

Supporting paragraphs: The Woggle-Bug (musical) The Marvelous Land of Oz
Answer: Frederic Chapin