BSR says Gershom married Catherine Clemence on 13 Feb 1713, Jamestown (no source noted). However, in some documents she is referred to as Clemence. Jamestown records identify their children as "of Gershom & Clemens" or Clemence. I have made an assumption that she is Clemence Battey, based on their dates of birth and the given names Clemence & Dinah, found in both the Battey and Remington families.
I am including Stephen as a son in this family group solely on the basis of the Revolutionary Pension File of Tiddeman Remington. A letter in this file states that Tiddeman served three months of his enlistment time on behalf of his uncle Stephen Remington. However, I can not see exactly where Tiddeman states that Stephen was his uncle, but the letter, written later, says this. Something may be missing from the published file.
Could he be the Stephen Remington who was an Ensign at Jamestown and married Sarah Nichols? (see note at Newport Historical Society)