Abraham and Bridget (Best) Shaw of Dedham, Massachusetts
To summarize peer-reviewed scholarly research published by Russell Franklin Shaw (see further below), Abraham-1 Shaw (Thomas-A, Christopher-B) of Dedham, Massachusetts was a:
— son of Thomas and Elizabeth (Longbothom) Shaw.
— grandson of Christopher Shaw (whose wife is unknown).
— son-in-law of Henry and Grace (Boithes) Best.
Nothing further can be stated about the ancestry of Abraham and Bridget (Best) Shaw with confidence.
1989: Russell Franklin Shaw, "English Ancestry of Abraham Shaw of Dedham, Massachusetts," The Genealogist, (Vol. 10 [Spring 1989]: 86-97.
https://www.americanancestors.org/DB2817/i/62887/86/10006609389
Shaw’s 1989 article provided important corrections and additions to previously published research:
1952: H. Minot Pitman, A.B., LL.B, FASG, “Abraham Shaw of Dedham [Massachusetts],” The New England Historical and Genealogical Register (Vol. 106 [1952]: 50-52):
https://www.americanancestors.org/DB202/i/11605/50/236548497
1981: M.L. Bierbrier, “The Origin of Abraham Shaw of Dedham [Massachusetts],” The American Genealogist (Vol. 57 [1981]: 85-87):
https://www.americanancestors.org/DB283/i/12607/85/143305055
Content from Shaw’s 1989 article has also been incorporated into:
George H. Hayward, “Shaws of New Brunswick and Maine : with roots in Massachusetts and England, 1518-2004 ; descendants of Christopher Shaw of Northowram, Yorkshire, England and his grandson, Abraham Shaw who settled in Dedham, Massachusetts, that migrated north into New Brunswick and Maine” (Fredericton, New Brunswick: 2004).
http://www.familysearch.org/library/books/idurl/1/250253