For those who might be interested in where the Lyons Family Memorial Volumes got their information about the ancestry of Elizabeth Lyons:
The first of the volumes (cited by wjhonson above) at pp. 436-438 provides English summaries of a number of medieval documents (see https://books.google.com/books?id=wic3AAAAMAAJ&dq=elizabeth lyons wydeville&pg=PA436).
The other volume (cited by CE Wood above) at pp. 16-17 gives some Latin extracts of those documents (see https://archive.org/stream/lyonmemorial00mill#page/16/mode/2up).
Both of these are based on the Latin summaries of medieval documents published 1886 in Miscellanea Genealogica et Heraldica, 2nd Ser., vol. 1, pp. 50-51 and 54-55 (see https://books.google.com/books?id=9QlBAQAAMAAJ&pg=PA50). While no citation is given here to the original, the context makes it clear that these summaries were prepared by August Vincent at the College of Arms around 1614 while constructing a pedigree for Richard Chetwode of Warkworth (for marginal notes by Vincent, see p. 46; for the pedigree, see pp. 69-76, with the Lyons portion being line D on pp. 70-71).