An Etymological Dictionary of the German Language/Annotated/Schabe
Schabe (1.), ‘mill-moth, cockroach,’ from the equivalent Middle High German schabe, feminine; Old High German *scaba, feminine, is by chance not recorded in this sense; compare Anglo-Saxon mœelsčęafa, ‘caterpillar.’ Derived, like the following word, from schaben.
Schabe (2.), feminine, ‘scraper, spokeshave,’ from Middle High German schabe, Old High German scaba, feminine, ‘spokeshave, plane.’ Compare Dutch schaaf, ‘plane,’ Anglo-Saxon sčęafa, English shave (knife for shaving, hoop-axe), Old Icelandic skafa, feminine, ‘spokeshave.’