Thank you for your e-mail.Most of what I can tell you of my gg grandmother Lizette Fluri is gained from information I know of her husband Heinrich (Henry) Rödelsheimer.
From the records of the Hauptstantsarchiv, Stuttgart, we know Heinrich served in the 7th Comapny of the 5th Wurtemberg Infantry Regiment.He was Catholic and was single when mustered out of the Army on April 1, 1851.
According to a Family Bible (an 1797 German edition) Jacob and Marie Fluri were the parents of Lizette.Jacob is noted to be from Soleure, Switzerland. Lizette married Henry (Heinrich Rödelsheimer).
Lizette was 57 years old when she died in Philadelphia on 2/22/1879.She would have been at least 29 years old when she married Henry - assuming his army records are accurate as to his marital status when discharged.This is really the extent of my knowledge about the Fluri's.
It occurs the names Jacob, Marie and Lizette are more French than of German origin.I'm somewhat embarrassed to admit I do not yet know enough about the geography and travel patterns of the people of southern Germany, France and Switerland in the 1850's to offer an informed opinion.Note the The Bible from which the genealogy is taken is in German.However, since it may have belonged to Henry, it may not offer a clue as to the whether the Fluri's were of German or French ancestery..
The only other clues I have are three photographs which are purportedly from Soleure.The appear to have been taken sometime during the 1890s.
The first is of a house that rumor has belonged to the Fluri's.The second is of a town square, the center piece being a large fountain w/ a date that appears to be 1790.I date the photographs from the dress of the towns folk captured in the photo.
The last phote is of a church.The church is a 21/2 - 3 storied structure.The steeple is an octagonal struction topped by a dome w/ the belfry topping the dome.Indeed, there are other structures throughout the town which display similar dome structure, although on a smaller scale.In any event, the caption under the photograph read something to the effect of mother's mother church.I believe the caption was written by my grandmother, Mary Elise Rodebaugh, Henry and Lizette's granddaughter.
I don't know if any of this ties into your ancestor Elizabeth.As my Lizette was 27 years older, she may have been an aunt or a cousin, assuming any relationship.
I hope this is useful - or at least interesting to you.Please let me know your thoughts.