Anderson referred to him as "Thomas Low {{1641, Ipswich}}" more than once in the earlier Great Migration series. For example, see the sketch of Henry Kimball at The Great Migration, Immigrants to New England, 1634-1635, Volume IV, I-L (Boston: New England Historic Genealogical Society, 2005) , 152-154; digital images by subscription, AmericanAncestors.
If there was an entry in the Directory, then I hope to learn some of the details.
Thank you for any assistance you are able to provide. --Gene
Reference--Robert Charles Anderson, The Great Migration Directory: Immigrants to New England, 1620–1640: A Concise Compendium (Boston, Massachusetts : New England Historic Genealogical Society, 2015).