Per Caleb Johnson's Mayflower History (and http://mayflowerhistory.com/fuller-samuel/
"Samuel Fuller has been generally identified as the son of Robert Fuller, baptized on 20 January 1580/1 at Redenhall, Norfolk. The identification is based upon circumstantial evidence only: the fact that the names Samuel, Edward, and Ann occur within the same family; and the fact the father is identified as a butcher. Thomas Morton, writing in 1637, says that Samuel Fuller was the son of a butcher. The name Matthew also occurs in this Redenhall Fuller family, and Samuel’s brother Edward had a son Matthew.
Samuel Fuller's 1613 Leiden marriage record indicates he had been formerly married to Alice Glascock; nothing is known of his first wife beyond her name. The name Alice Glascock is found most commonly in Essex, England. His second wife, Agnes Carpenter, was the daughter of Alexander Carpenter. She was baptized at Wrington, Somerset, on 16 December 1593. His third wife, Bridget Lee, was accompanied by her mother Josephine Lee at her marriage, and also had a brother Samuel Lee living in Leiden.
Samuel Fuller came on the Mayflower in 1620, leaving behind his wife Bridget in Leiden to be sent for later. She would come to Plymouth on the ship Anne in 1623. He was the Colony's doctor, surgeon, and was a church deacon. His wife Bridget may have been the church's deaconess. Samuel Fuller spent time helping the sick at Neumkeag (now Salem) in 1629. He himself became sick in the autumn of 1633, and died, as did a number of other Plymouth residents."
Also: Edward Fuller has been generally identified as the son of Robert and Sara (Dunkhorn) Fuller, baptized on 4 September 1575 at Redenhall, Norfolk. Thomas Morton, writing in 1637, says that Samuel Fuller (brother of Edward Fuller) was the son of a butcher. The name Matthew also occurs in this Redenhall Fuller family.
The name of Edward Fuller's wife has not been discovered. In James Savage's Genealogical Dictionary of the First Settlers of New England (1860-1862), Edward Fuller's wife was given as "Ann". However, there are no American or English records which give her name. I suspect James Savage may have made a simple typographical error: Mayflower passenger Edward Tilley had a wife Ann; or perhaps he was thinking of their sister Ann Fuller. Nonetheless, numerous sources published after 1860 have utilized Savage's Genealogical Dictionary, and so the identification of Ann can be found in numerous other books and online resources.
Very little is known about Edward Fuller. What is known is that he, his wife, and his son Samuel came on the Mayflower in 1620 to Plymouth. An older brother, Matthew, had stayed behind, and came to America later.
