The children of Joseph & Sarah Palmer, borne at Westchester:
...
Daniel Palmer was borne ye 8th day of 3d mo., 1680.
[Note: In old-styles dates, the third month is May. More info may be found here.]
[Note: Winifred Lovering Holman in TAG, p. 26:104, reports this date as "2 or 3 May 1680". It is apparently hard to read the original. Since Abraham Underhill transcribed the whole source in this article, one presumes he might have gained more familiarity with the writing style of the scribe over the course of his project?]