Anderson, in the Great Migration series identifies NO name for William's mother-- neither first nor last name. He also cautions against relying on any work published by John G. Hunt who has made claims (subsequently challenged) about both the wife and the mother of William Brewster.
Anderson admires the research of Mary Walton Davis published in the Dawes-Gates volumes (see in particular vol 2, p 143-156). These are digitized on Ancestry.com. But he clearly didn't concur with her conclusion that William's mother was Prudence-- the wife of William's father at the time of the father's death in 1590.