I've found information (as yet unconfirmed) that Eliza may have maried a widower named Samuel Bandle on 25 July 1875 in Lake County, Ohio. She and Samuel appear in Mentor, Lake, Ohio with his son William. They are listed with the surname "Baudle" (probably transcriber error). Her age and place of birth match the information I already had on her.
I found an E.J. Bandle in a Lake County obituary index that shows that she died 21 December 1892 in Mentor, Lake, Ohio. Her birth date is unknown in the index but her age when she died indicates she was born about 1815, matching previous information. I'm hoping to locate this obituary at the library soon.