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.
(If you use any portion of these notes, please give credit to me, Lois Sorensen, and to other sources as noted herein.)
The original birth record at Jamestown reads: "Gershum Remmenton sun of Stephen & Pennelipy 3 December 1690."
Land records show Gershom Remington signing transactions with his wife, Clemence, on 31 Dec 1733. Some genealogists have her name as Catherine. Was Catherine a second wife; or, perhaps simply the name was misread (?).
In 1735 Gershom was Ensign of the Militia for Jamestown, and later was promoted to Lieutenant on the resignation of William Battey; again he served in this position in 1736.
Was there another daughter named Aase or Acie? Here is this listing from the RI Cemetery Database: