The surname is German: it has two different spellings:
FLOERCHINGER
FLORCHINGER (with two dots on the first "o")
You can find it on the german telephone directory
www.dastelephonbuch.de/NSAPI/Anfrage The surname are pronounced exactly the same. But the second form is more common.
They are spread in many different cities and towns.
Among them I know the names of:
SPEYER
BOCHUM
HEIDELBERG
You can find Floerchinger also in Ellis Island Site:
www.ellisisland.org I ignore the meanong of this surname.
Regards