My husband's name is FULHABER. One oh his ancestors was Antoine FAULHABER, son of François FULHABER in Gueberschwihr (Alsace). The official paper I have mentions the two names.
I know also that a lot of FAULHABER are from Germany (Bavaria, Heidelberg) or from Austria (Wien).
For the first time, the name changes
born 60/20/1813 in Gueberschwihr
•François, Antoine FULHABER