Nothing seems to really fit for her being the widow of any Bassett.
This is Torrey's list of sources: WEBB, Richard (1611-1676) & Margery [MOYER?]; by 1636; Stratford, CT/Stamford, CT {TAG 25:195; Winthrop-Babcock 541; Fairfield Prob. 76; Miner Anc. 178; Lyon 3:310; NYGBR 26:192; Stamford Hist. 65, 166}
Winthrop-Babcock: Frost, Josephine C., Ancestors of Henry Rogers Winthrop and His Wife Alice Woodward Babcock ([New York?], 1927). Gives wife as Margery Unknown. Contains theories discounted by TAG article.
Fairfield Prob.: Mead, Spencer, “Abstract of Probate Records at Fairfield,” typescript, 2 vols. (n.p., 1929, 1934) http://tinyurl.com/ydbubqxg
NYGBR: The New York Genealogical and Biographical Record, vols. 1+ (New York: New York Genealogical and Biographical Society, 1870+) Checked - no useful information
Miner Anc.: Selleck, Lillian Lounsberry, One Branch of the Miner Family: With Extensive Notes on the Wood, Lounsberry, Rogers, and Fifty Other Allied Families of Conn., and Long Island (New Haven: Donald Lines Jacobus, 1928) Checked - no additional information. Names wife simply as Margery.
Lyon: Lyons, Albert Brown, et al., Lyon Memorial—Mass. Families (Detroit: W. Graham Printing, 1905+) Names wife as ______ Moyer. Frankly, appears inconsistent and unreliable. Contains the theories discounted by the TAG article.
Stamford Hist.: Huntington, Rev. E. B., History of Stamford, Conn.: From Its Settlement in 1641, to the Present Time, Including Darien, Which Was One of Its Parishes until 1820 (Stamford: privately printed, 1868) http://tinyurl.com/y6vjavaw