My understanding is that Thomas White who married Salome Peirce was the son of Thomas White and Ruth Marchant., "Susan E Roser, Mayflower Births and Deaths, Volume 2, Copyright 1992; Genealogical Publishing Co, Inc., 1001 N Calvert St, Baltimore, MD 21202, page 484." Further, Thomas White and Salome Peirce had issue: Mary, b. abt 1800, and Alvin, b. abt 1801, both in Freetown.