Given the many variations of spellings of this last name and that Thomas wasn't literate, I've chosen the spelling used by his son Thomas, which is "Pinsin."      

children of Thomas Pinson and Jane (Rickard?):1

i. Thomas, b. 15 May 1640
ii. Hannah, b. 4 December 1642

vital records sources:

1. Vital records of Scituate, Massachusetts, to the year 1850, vol. 1 (Boston: New England Historic Genealogical Society, 1909), 296.