She was likely living at Salem, Massachusetts by 1631, when her father had removed there from the Plymouth Colony. She was married, by 1635, to Moses Maverick, the son of Rev. John (perhaps at Salem, but not in records). Moses was in Salem by 1634, in that part of town which separated to become Marblehead in 1649, where Moses was one of its first selectmen, as well as a town clerk, and justice of the peace. Remember died after 1652, and before 1656 (when Moses remarried).
[Map from David Rumsey Map Collection - link]
i. Rebecca, bapt. 7 Aug. 1639
ii. Mary, bapt. 14 Feb 1640/1
iii. Abigail, baqpt. 12 Jan 1644/5
iv. Elizabeth, bapt 7 Nov (or 3 Dec) 1646
v. Samuel, bapt. 19 Dec 1647
vi. Elizabeth, bapt. 30 Sept 1649
vii. Remember, bapt 12 (or 17) Sept 1652 - my 9th Great-Grandmother, who married Edward Woodman.
Mayflower 2020 [on American Ancestors site]
Wicked Local: Marblehead. 2011 web article on Moses' 400th birthday, noting local tours around Marblehead.
Allerton, Walter S. A History of the Allerton Family in the United States. Chicago, IL: Samuel Waters Allerton, c1900 [book on internet archive]. This source errs in mixing up Remember and her sister as husb. of Moses Maverick.
Roads, Samuel Jr. The History and Traditions of Marblehead. Boston: Houghton, Osgood & Co., 1880. On Internet Archive [here]. Many mentions of Moses Maverick, Remember's husband.