I think I have photos of Mary Beers's father (William Beers) and mother (Susannah Gazey). They are on my tree Quinn Family File on ancestry.com http://trees.ancestry.com/tree/37847532/person/19150882392
and I've tried to attach them here.
They were in on old photo album that my grandmother Gertrude Hawley had. She was the granddaughter of Mary Beers Hawley thru their son William John Hawley. I have only circumstancial evidence that these photos are really them. Have you seen them before?