The following is out of a book of research done by Mary Ford Southworth:
It will be seen that from the existing records, John Faure, the brother of Peter, married a Mary ________, by whom he had issue: 1. John, probably born 12 December 1728 2. Elizabeth 3. Mary
There is nothing further concerning the children of John Faure in the records of Henrico County, and it is likely that they removed with other members of the family to Buckingham County, Virginia. (Virginia County Records by Crozier, volume 7).
You can go to my web page and see the text of the info.Sorry there is nothing more on Elizabeth, but some of the other info may lead you to other sources.