NEHGR vol. 92 no. 3 (July 1938):296-300. Notes: Bettes Family, by John Insley Coddington. AmericanAncestors LINK (paid)
297: "The will of John Bigg of Maidstone, co. Kent.... my cousin Betes lving about Lengly, my cousin Betts living there [in New England]."
297: "The will of Rachel Bigg of Dorchester Mass. ... bequeathed 20 shillings to Thomas Beates."
NEHGR vol. 92 no. 4 (October 1938):395-398. Notes: Bigge Family, by John Insley Coddington. AmericanAncestors.org LINK (paid)
397: "John Bigge of Cranbrooke, co. Kent .... he appears to have been the brother of Elizabeth, wife of John Scotchford, of Brenchley, co. Kent and also of Mary wife of John Bettes or Betts of West Peckham, co. Kent, yeoman."
This is certaily where the information comes from though I have not tried to figure out if the names in the articles correctly match up to the names in profile.