(If you use any portion of these notes, please give credit to me -- Lois Sorensen, Remington researcher -- and/or to other sources as noted herein.)
John Remington is the head of a household in the 1840 Federal Census at Tiverton. The family consists of 1 white male under 5, 1 white male 40-50, and 1 white female 30-40. They are listed next to Eseck Manchester's family and Benjamin Hambly, Jr.'s family. This Benjamin Hambly would be either the father or the brother of John's sister-in-law, Mary Anne (Hambly) Remington, who by this time was probably Benjamin's widow.
In the 1850 Federal Census at Tiverton, John Remington is age 50, and his wife Hannah is 40. They have four children: Albert 17, Lydia A. 9, Stephen 6, & Nathan 2. Hannah may be related to the Durfees, as there is a Hannah Remington age 51 living with a Durfee family in the 1860 census. If her daughter Lydia A. is the Alice Remington who married Amenezer James Durfee, that might explain the connection.
I haven't found a death record for John. Did he die at sea, as did his brother Benjamin?