A family member on my husband's side of the family wrote a family history in September of 1967 of James Edward and Helen (Beddo) Abrams' ancestry. I obtained a copy of this from my husbands grandmother (Abrams) a few weeks ago. In it the person made note that John Abrams grandfather and a brother (I am assuming his grandfathers brother) came to the US from Holland. It does not include the name of his grandfather or a date of when they came to the US.
This information was from Richard Abrams (5th child of James and Helen Abrams) who had done some research on the family in a library in Boston, MA.