From the Mayflower History Website, http://www.mayflowerhistory.com by Caleb H. Johnson:
Remember Allerton was born around 1614 or 1615 in Leiden, Holland, to parents Isaac and Mary (Norris) Allerton. She, her parents, and her siblings Bartholomew and Mary came to Plymouth on the Mayflower in 1620. Sometime before May 1635, she married Moses Maverick, who had come to Massachusetts about 1630, perhaps on the ship Mary and John. They took up residence in Marblehead, and later moved to Salem about 1640. She died sometime after the birth of her last child, Remember, and husband Moses remarried a few years later to widowed Eunice (Cole) Roberts, and had an additional four children (Mary, Moses, Aaron, and Sarah).