Setting #3 in the "new" (I hesitate to keep using that term since book has been out since 2006) cranberry Evangelical Lutheran Worship hymnal was written by Richard Hillert (March 14 1923 to February 18, 1910) Professor of Music Emeritus at Concordia University Chicago, River Forest, Illinois.
Holy Communion Setting 3, was originally written by Hillert for inclusion in Lutheran Book of Worship (1978), where it was designated as Holy Communion - Setting One and was also subsequently included Lutheran Worship (1982) as Divine Service II, First Setting.
Presumably, Because of its popularity Richard Hillert musical setting for Holy Communion was included in both the aforementioned Evangelical Lutheran Worship (2006) hymnal, as well as in the Lutheran Service Book (2006). Incidentally, this musical arrangement includes Hillert's most frequently performed liturgical work in Christian congregations, which is the canticle, "Worthy Is Christ," with its antiphon, "This is the Feast of Victory" which was written as an alternate Song of Praise to be used in place of the Gloria In Excelcis ("Glory to God in the highest"). "This is the Feast" is now widely published in more than twenty (20) recent worship books of many denominations, including Christian Worship: a Lutheran Hymnal.
It is significant in that it was the first successful attempt to introduce to Lutherans in the United States a single composer's arrangement of all of the liturgical chants and canticles used in Sunday morning when celebrating the Holy Communion. After thirty (30) years, it actually "caught_on" as congregations became familiar with the melodies. Previous, attempts to come up with a "common service" Lutherans would all like to sing were only somewhat successful. For example, comparing "The Order of Morning Service or the Communion" on page 7 of the American Lutheran Hymnal (1930) with "The Order of the Holy Communion" on page 15 of The Lutheran Hymnal you find the language is exactly the same, but the music, although very similar - differs with the versions in those two hymnbooks sharing only the common offertory response, "Create in me a clean heart" and music for the Agnus Dei.
As to nine other musical settings for Holy Communion found in the Evangelical Lutheran Worship hymnal.
Setting #1 consists of a compilation of new music composed by by Mark Mummert, Robert Buckley Farlee, and Thomas Pavlechko.
Mark Mummert is Director of Worship at Christ the King Evangelical Lutheran Church in Houston, Texas, and serves as organist for the Bach Society of Houston. Prior to his call to Houston, he was Seminary Musician at the Lutheran Theological Seminary at Philadelphia for eighteen years (1990 - 2008), where he conducted the Seminary Choir, was Cantor to the daily Chapel, and taught courses in hymnody and liturgical music.
Specifically Mr. Mummert composed the "Kyrie," "Glory to God," "This is the Feast," and the "Lenten Gospel Acclamation" selections. Setting #1, by the way, seems to be a finding a nitch among congregations, where people are tired of singing Settings #3 and/or #4 week after week.
Setting #2 was composed by by Marty Haugen.
Setting #4 is the same musical arrangement which was published in Lutheran Book of Worship (1978) as Holy Communion - Setting Two and again included Lutheran Worship (1982) under the designation Divine Service II, Second Setting.
Setting #5 is a "Chant setting" based on Setting Three in Lutheran Book of Worship (1978), and had previously been published in the old Service Book and Hymnal as Setting 2. Regina Fryxell, born Regina Holm (November 24, 1899 to September, 1993) is the musical composer largely responsible for this version. Ms. Fryxell worked on and produced this arrangement for the Service Book and Hymnal (1958) of the Evangelical Lutheran Church in America between 1948 and 1958. It was called the "Continental Setting" because it reflected the Lutheran liturgy from Northern Europe, including Sweden.
Setting #6 uses music from the African American worship resource This Far by Faith.
Setting #7 provides music in Spanish originally published in Libro de Liturgia, for a bi-lingual congregation to use.
Setting #8 is a compilation of music from various recent popular musical genres. For example the "Kyrie" is from a Lutheran liturgy setting published a few years ago by the Dakota Road music company. Setting #8, is getting to be very popular in a growing number of congregations, which a few years ago would have turned a deaf ear to it. Its popularity is attributed to the fact that the musical accompaniment t is for a piano. Most pastors and churches today will openly acknowledge that finding a needle in a haystack is easier that finding a trained organist to play on Sunday morning. The music Setting #8 sounds acceptable whether played on a small digital keyboard or a grand piano, and can be learned by anyone, who has had a couple of years of piano lessons.
Setting #9 was written by Joel Martinson.
Setting #10 sets the words of the various liturgical canticles to various familiar hymn tunes. This arrangement is a good as an occasional substitute for the more formal musical settings in that most parishioners will readily recognize the melody and be able to sing along without having to learn several pages of new music.
Hope all of this helps to answer the question posed.