Very interesting. I also have an ancestral Prentice line in New England and it too is covered in Binney's book on the Prentice family. The 1883 edition is much better researched than the 1850's edition, although still grasping for evidence in some areas, such as the one you illustrated. Interestingly, the improved references in the 1883 edition led to an error of identification in my line that has become so widespread that I fear it will never get corrected beyond Wikitree. An ancestress of mine who married into a Prentice line was listed as "Joane---(per Savage)", which appears to have led to someone deciding that this meant her LNAB was Savage! And with all the copy and pasting, borrowing, etc on Ancestry and other sites it may never get changed. "per Savage" simply referred to Savage's earlier works on early New England settlers.
Unfortunately, identification and finding records for female lines is so much harder than the male lines. Once I trimmed out all the incorrect information that has accumulated, basically nothing was left but her first name (and that too has a variety of interpretations) and her marriage record to mark her existence.
Keep up the good researching; the further back we go, the more documented facts we need.