In a partial settlement of her late father's will, dated Nov. 8, 1782, Elizabeth is identified as being married to Anthony Weitzel and residing in Shenandoah Co., VA. A search of the US Federal Censuses for Virginia failed to find an Anthony Weitzel in Shenandoah County, but an Anthony Weitzel was found in Rockingham County, which is adjacent to Shenandoah County. There are also several references to various Weitzel's in Augusta County (adjacent to Rockingham Co.), including a 1799 marriage of Jane Weitzel, the daughter of the late Anthony Weitzel. Additionally, in 1832, Abraham Weisel gave a deposition concerning his service during the Revolutionary War in which he states he was born in Lancaster Co. Pennsylvania in 1760, with a conformation from his brother Peter Weizel.

While I was unable to find any reference to Anthony's wife or to the mother of Jane, Abraham or Peter, it does seem likely that these are members of Elizabeth Flory's family.

Sources:
Bunderman, Walter Q. Flory, Flora, Fleury Family History, 1948, Pages 133 - 135.
Chalkley, Lyman. Scotch-Irish Settlement in Virginia, vols. 1,2 & 3. (Records of of Augusta County, Virginia, 1745 - 1800). 1912
Marcinkowski, John P., Supplement to the Flory, Flora, Fleury Family History of 1948, 1973, Page 41.
US Federal Censuses, 1810, 1820