Parents' names here
interesting article if nothing else Early American Crime
In a 1984 newspaper article Diana Ross McCain cites Ellen Larned writing in 1874. Parents said to be William and Elizabeth and she was 19 as of end June when the crime happened.
The book seems to be History of Windham County, Connecticut by Ellen Douglas Larned https://books.google.co.uk/books?id=cEGD5YtINSoC&printsec=frontcover&dq=Ellen+Larned+windham&hl=en&sa=X&ved=0ahUKEwiYzeOqi6reAhWKAMAKHbKBCJcQ6AEICjAA#v=onepage&q&f=false
However the book is less certain about her parents, saying probably a descendent of William. The accused is called Elizabeth Shaw Jun. Is the Snr, her mother or someone else in town? It also doesn't give her age.
Hope this is of some help,