I am taking the liberty of assuming that this marriage in the Jamestown vital records belongs to these two individuals. The time frame and the locale fit them both.
The marriage record at Jamestown reads: "John Carr & Abigail Remington both of this town" were married "ye 15 of 12th month 1704/05 by John Weeden, Warden." (At this time the 12th month was February and the 1st month was March. Dates from January through March used a split year.)
(If you use any portion of these notes, please give credit to me, Lois Sorensen, and to other sources as noted herein.)
Alden G. Beaman gives her date of birth as 3 March 1686, as does the book "Descendants of Roger Williams," Book III, Sayles Line, p. 24. The exact date is not legible in the original Jamestown records (p. 14). It reads: "Abigail Remington daughter of Daniel born March 1686."
Abigail Remington, daughter of Daniel Remington, is mentioned as a kinswoman of Phebe Arnold in the 1697 will of Oliver Arnold of "Conenicut Island." Oliver's wife, Phebe (Cooke) Arnold, was Abigail's great aunt, sister of her maternal grandmother, Sarah (Cooke) Parker.
Some genealogies use the date of death, 6 Mar 1763, for another Abigail Remington, the one who married William Gardiner.