Gravesite spelling may be: Symonson; There were two Symonsons/Simmons, as father and son who came to America. She is likely the daughter of Simmons, Jr..
Source: The Register of the Lynn Historical Society, Lynn, MA, 1906; geni dot com; coltechpub.com/hartgen/htm/chilton.htm.
Jon Wardlow and Simon Neal, transcribers, "Lyonel Chilton's Will," Mayflower Descendant 62(2013):72-77.
Caleb Johnson, "A New Record Relating to James Chilton," Mayflower Quarterly 75(2009):139-140.

Suggested edit: This tombstone is illegible, at least in this photo. However, it is clearly not of 17th Century design, so I have to wonder whether this profile's creator or contributors mistook another stone for that of Mary Simmons Alden.
Contributor: Mark Dixon (48222303)

Note on WILLIAM MULLINS FAMILY FROM ENGLAND: https://en.wikipedia.org/wiki/Peter_Browne_(Mayfl
Name Mary Simmons
Born 1638 Duxbury, Plymouth Colony Find all individuals with events at this location
Gender Female
FamilySearch ID 9SX4-HTG
https://www.familysearch.org/tree/person/details/9SX4-HTG
FindaGrave Memorial ID 55330250
https://www.findagrave.com/memorial/55330250
Died 10 Mar 1696/97 Bridgewater, Plymouth County, Massachusetts Find all individuals with events at this location
Buried Aft 19 Mar 1696/97 Mayflower Cemetery, Duxbury, Plymouth County, Massachusetts Find all individuals with events at this location
Person ID I4096 New England Hall Families Master Tree
Last Modified 1 Aug 2019

Father Moses Simmons, II, b. 1 Jan 1603/04, Reusel, ____, Noord-Brabant, Netherlands Find all individuals with events at this location, d. 15 Sep 1691, Duxbury, Plymouth Colony Find all individuals with events at this location (Age 87 years)
Mother Sarah Chandler, b. 15 Oct 1622, Leyden, ____, Zuid-Holland, Netherlands Find all individuals with events at this location, d. 27 Oct 1675, Bridgewater, Plymouth Colony Find all individuals with events at this location (Age 53 years)
Married 1621
Family ID F7292 Group Sheet | Family Chart

Family Joseph Alden, b. 22 May 1627, Plymouth, Plymouth Colony Find all individuals with events at this location, d. 8 Feb 1696/97, Bridgewater, Plymouth County, Massachusetts Find all individuals with events at this location (Age 69 years)
Married Bef 1663
Children
1. Elizabeth Alden, b. 1672, Bridgewater, Plymouth Colony Find all individuals with events at this location, d. 8 May 1705, Bridgewater, Plymouth County, Massachusetts Find all individuals with events at this location (Age 33 years)
2. John Alden, b. 1 Sep 1674, Bridgewater, Plymouth County, Massachusetts Find all individuals with events at this location, d. 29 Sep 1730, Middleboro, Plymouth County, Massachusetts Find all individuals with events at this location (Age 56 years)
3. Isaac Alden, b. 21 Dec 1664, Bridgewater, Plymouth County, Massachusetts Find all individuals with events at this location, d. 24 Jun 1727, Bridgewater, Plymouth County, Massachusetts Find all individuals with events at this location (Age 62 years) ower_passenger)
Note on her parents, as related to CHANDLER: