Identity
Edmund Faulkner (born 1623) and his wife Dorothy Raymond did have a daughter Mary born probably about 1649. But I believe she married Joseph Marble. The Mary Faulkner who married John Poor was born in 1693 daughter of John Faulkner and Sarah Abbott.
Here is a link to the existing profile of the Mary Faulkner who married Joseph Marble: Mary (Faulkner) Marble (abt.1649-aft.1724)
I am not sure how the currently linked father of Edmund born in 1585 would fit into this -- but that seems wrong.
Biography
Mary was born about 1660.