A good site to gain more information on the name would be the Baden Wurttemburg site. The web master and several other people are very well informed on the history of the area.
My husband's ggrandfather was Friedrich Schnerring who was from Germany and settled in Philadelphia about 1880.On his Declaration of Intent he signed his name Schnerring, yet on the back of the paper it is written ( by a law clerk I expect) as Schnoering.
The LDS Family History Site shows a great number of Schnerrings in Beuren, Wurt. back many centuries.
I suspect that they are all related, whether Schnering, Schnerring or Schnoering.