Names of those aboard
There are no surviving ship lists that document the passengers aboard the William and Mary. The following 3 images are from the writings of B. B. Haagsma  who was aboard the ship. He sent a letter to his friend P. Runia of Kimswerd which was published in book form in 1853. Since these are from Haagsma's recollection, they may contain errors, which are noted below.
Number of passengers
The Bonnema group originally left Harlingen with 92 people. At Liverpool, the Schaafsma family turned back... "en Veijer Schaafsma met vrouw en 4 kinderen, uit Harlingen, is te Liverpool terug gebleven, om naar hun vaderland weder te keeren.". This family consisted of husband Feye Schaafsma, wife Siementje Alberts Hilwerda, and three children: NAME 1, NAME 2, NAME 3. This is further proven by examining the bevolkingsregister for this family. It shows they left for "Noord America" on 26 Feb 1853. 
This left 86 Frisian passengers that embarked on the William and Mary.
Haagsma, B. B. (1853). Lotgevallen van den heer O. H. Bonnema en zijne togtgenoten, op reis uit Friesland naar de Vereenigde Staten van Noord-Amerika. Harlingen: P. Runia.
H. de Jager wrote a letter dated 29 Jun 1853. This was published in "De Hollander July 13, 20, 27, and August 3 and 10, 1853".  as well as in part in the Algemeen Handelsblad on 8 Aug 1853 page 1/6. A translation is available in Bekins blue book, 1947, pages 15-20. This letter was written by de Jager after encountering a group of the immigrants in Galena, Illinois and is not a first-hand account of the events.
Included with the below referenced Kas letter. This is a short letter from Grietje Jans Jansonius informing her family that she was alive and well.
Kas, Henderik Jans. Letter, 1853. 1 item, photocopy, with translation. La Crosse, Wisconsin - Franekeradeel, Friesland; H. J. Kas to relatives. Part of the Dutch Immigrant Letter Collection at Calvin College Heritage Hall. A pdf scan of this letter with an English translation is here
Roorda letter (translated): http://iagenweb.org/marion/GROETEN/English_GROETEN/GroetenTrans_9.htm. NOTE ABOUT ORIGINAL SOURCE FOR THIS
Oene Martinus Wagenaar letter http://resolver.kb.nl/resolve?urn=ddd:010276495:mpeg21:a0001 ADD DATE, SOURCE
Wesselius letter 22 Jun 1853 sent to de Nieuwsbode by J. Bijlsma of Grand Rapids http://zoeken.krantenbankzeeland.nl/issue/snb/1853-07-12/edition/0/page/2
Historical newspaper articles
ADD LIST OF THE SOURCES THE BEKINS BLUE BOOK CONTAINS