Morita and Ishibashi are responsible for in-game music, while Haishima composed the "GG Movie" - presumably cutscene - music, according to Mobygames.
Lufia: The Legend Returns - Neverland - September 7, 2001 - Yasunori Shiono, Akiko Ishibashi, Tomoko Morita, and Yukio Nakajima
Morita said she composed 3-4% of the game's tracks on the archived Neverland website. She also listed her favorites, so "Town of Redwood", "Four Mad Gods Gades & Daos", "Alstadt Kingdom", "Leong Temple", and "The Journey Continues" can be credited to her. Thanks to Huzma for correcting this regarding the Rion temple mistranslation (thanks Google).
Disney's Party - Neverland - September 17, 2003 - Yukio Nakajima, Tomoko Morita, Akiko Ishibashi, and Yasunori Shiono
Mobygames lists Nakajima as sound director and Morita and Ishibashi as composers. Shiono's role is unknown, but confirmed via his TAB profile.
CIMA: The Enemy - Neverland - November 17, 2003 - Tomoko Morita, Yasunori Shiono, and Yukio Nakajima
Shining Force Neo - Neverland - March 24, 2005 - Tomoko Morita and Yukio Nakajima
Rune Factory: A Fantasy Harvest Moon - Neverland - August 24, 2006 - Tomoko Morita
Rengoku II: Stairway to H.E.A.V.E.N. - Neverland and Hudson Soft - September 12, 2006 - Tomoko Morita
Shining Force EXA - Neverland - January 18, 2007 - Tomoko Morita and Yukio Nakajima(?)
Many tracks from Shining Force Neo were reused here - namely, "Hope", "Happy", "Go", "Tension", "A Time for Us", "Max", "Man of Disguise", "Dark Castle", "Dark Castle Battle", and "Strategy". I have thus listed Yukio Nakajima in italics, as sources generally only credit Morita, however, due to the quantity of re-used tracks, it's possible that some of the re-used tracks were composed by Nakajima, who otherwise had no involvement in the game, it seems.
Rune Factory 2: A Fantasy Harvest Moon - Neverland - January 3, 2008 - Tomoko Morita
Rune Factory Frontier - Neverland - November 27, 2008 - Tomoko Morita
Rune Factory 3 - Neverland - October 22, 2009 - Tomoko Morita
Lufia: Curse of the Sinistrals - Neverland - February 25, 2010 - Yasunori Shiono*, Tomoko Morita*, and Yukio Nakajima*
This is a remake of Lufia II.
*Note: Shiono is credited in italics as, though the soundtrack is comprised entirely of his music, he had no involvement in the game, and old pieces of his from the first two Lufia games are used and arranged by Morita and Nakajima, who are credited normally as, though they only did arrangement and didn't compose anything for the game, they were involved in the game.
Rune Factory: Tides of Destiny - Neverland - February 24, 2011 - Tomoko Morita
Morita left Neverland at the end of 2011.
Rune Factory 4 - Neverland - July 19, 2012 - Tomoko Morita
Morita worked freelance in 2012 and later joined Studio QAREEB at the beginning of 2013. Additionally, it seems that the Rune Factory series often reuses music as there are tracks from previous games here alongside new tracks.
Sol Trigger - Image Epoch - October 4, 2012 - Nek ("Hiroshi Koiki"?), Akitoshi Manabe, Kazuya Kondo, Hidenori Maezawa, Michi Kondo, Yoshiki Kondo, Keiichi Sugiyama, Jiro Yoshida, Tomoko Morita, and "Seiji Sugiyama"
Credits from VGMdb, and thanks also to the ever informative Huzma for alerting me to this. Nek ("Hiroshi Koiki" being a Google translation of the Japanese name) and Manabe come from GainGauge. Kazuya Kondo... isn't listed as coming from anywhere. Hidenori Maezawa, Michi Kondo, and Yoshiko Kondo come from binarylovers.com (apparently). Keiichi Sugiyama, Jiro Yoshida, Tomoko Morita, and "Seiji Sugiyama" (another Google translation) come from Studio QAREEB.
Lord of Magna: Maiden Heaven - Neverland and Marvelous - October 2, 2014 - Tomoko Morita
This game's an interesting case. The game was revealed in February 2014 - and it was also revealed that the development staff had been hired by Marvelous AQL, the series publisher of Rune Factory. You see, Neverland had filed for bankruptcy November 2013 and closed. So I've listed this under both developers.