Les -- I doubt that I can be of much help, but I've often wondered where Elizabeth may fit in with my Ohio Pitners. I'm certain she was related -- there was a small group of Ohio Pitners... particularly in that area of Ohio.
I believe my Pitners (George b. 1846, Levi b 1849, Hattie, James, S.A., Thomas, John; possibly a Francis and Mary as well) descended from RICHARD PITNER, b about 1807 in MD. In 1833, a Richard Pitner married Ann James in Maryland. According to some James researchers, Ann was the daughter of Joseph and Elizabeth James, who settled for a time in Muskingum Co., Zanesville, OH.
There are some Pitner grandchildren of Joseph and Elizabeth James (perhaps Elizabeth was your Elizabeth's namesake) buried in Black Log Cemetery, Dresden TWP, Muskingum CO, but I have not yet found out their names.
I have not been able to locate Richard and Ann on the 1850 census, nor have I found Richard listed singly on the 1850 census.
By 1860, my Richard Pitner was married to Hattie Kinne (or Kenny) and living in Clarion, PA.I'm not certain that Richard who married Ann is the same as Richard who married Hattie, but I think it is.
Somewhere in there, Francis A. Pitner, born in Ohio, listed on the 1850 census with Aaron Pitner of Steubenville, fits in. At some point, some of Richard's children (George W., Levi, Hattie and Mary) ended up in WV panhandle and in Belmont County OH>
Francis lived in Belmont County (he was born in 1844) and My gg uncle, George W. also resided in Belmont .Something drew Richard's children to that part of Ohio.
After George Pitner's first wife died, Francis Pitner's son-in-law was the minister who married George to his second wife.
I feel there must be a connection between all of these Ohio Pitners, and have kept Elizabeth's name at hand to try to figure out where she fits in, but I've not been able to place her on a census. I'd be interested in any information you may have...
If you would like me to send you all of the OH-WV-PA Pitner info I have, I'd be happy to do so.