"curly quotation mark" and "forward slash" were "quotation mark" and "slash" before typewriters and computers invented new breeds of these characters. Can you think of other traditional characters that need an adjective in front, because they were made obsolete by modern character sets?
These are not quite the same as what the French call « guillemets », are they?
But they might be the same as what the Germans call Gänsefüßchen, (little goosefeet, that is the little feet of geese, not the feet of little geese).
I just found out from Wikipedia (regarding guillemet) that
The word is a diminutive of the French name Guillaume (the equivalent of which in English is William), after the French printer and punchcutter Guillaume Le Bé (1525–98). Some languages derive their word for guillemets analogously; for example, the Irish term is Liamóg, from Liam 'William' and a diminutive suffix.
Liamóg is better translated as "young William" but is in any case adorable.