Ok I figured it out :-)
There are 3 legitimate Elizabeth Fullers. This is what I have found:
Begin with Moses Crippen. He was married to Elizabeth Fuller (born 04 APR 1626, died 20 JUL 1655, Daughter of Matthew Fuller and Frances Iyde). She is the first Elizabeth Fuller.
Moses Crippen and Elizabeth Fuller had a son named Thomas Crippen, and he married Frances Bray. Thomas is the only child of Moses and Elizabeth. Thomas and Frances had some children, among whom are Jabez Crippen, Mary Crippen, and Katherine Crippen. Here is where it gets weird.
Jabez Crippen married Thankful Fuller (daughter of John Fuller and Mehitable Rowley).
Mary Crippen married Moses Rowley Jr.
Katherine Crippen married Shubael Rowley.
Moses Rowley Jr. and Shubael Rowley are brothers. The parents of Moses Rowley Jr. and Shubael Rowley are Moses Rowley Sr, and Elizabeth Fuller (born 1635, died 7 March 1715, daughter of Capt Matthew Fuller and Frances Hyde). So that is Elizabeth Fuller #2.
Now for the third Elizabeth Fuller. So when Katherine Crippen married Shubael Rowley, they had a daughter named Elizabeth Rowley. Elizabeth Rowley (born 1694) ended up marrying Edward Fuller (Thankful's brother, or in other words, her uncle in law, if such a thing as an uncle in law existed.). So then she became the third legitimate Elizabeth Fuller.
The websites I used to collect this information is as follows:http://www.frontiernet.net/~rlandon2/Grippin/grippin0001.htmhttp://freepages.genealogy.rootsweb.ancestry.com/~smason/com...http://whitehursts.us/history/html/fam039.htmlhttp://www.laurahatch.com/Hatch%20Web/wc09/wc09_021.htm
Hope this helps!