There was a serial back in 1944 called Zorro's Black Whip, starring Linda Sterling as Zorro's niece who takes over the family business.
It seems they had partial rights to use Zorro in the title, but Zorro himself doesn't appear in the serial, or get mentioned by name. Linda Sterling's character is called The Black Whip, but is clearly a Zorro type character who uses a whip and pistols instead of a sword.
Also, everyone thinks The Black Whip is a man, including her boyfriend.
It was kinda fun, you can find the whole thing in the public domain.