I also like this! She could be Annie Oakley.
Here are a few famous women pirates:
I like Anne Bonny and Grace O’Malley 
“Buddy”
'nuff said
Badger!
Cute, but too close to our “Baxter.”
That’s a great looking dog!
What about Oreo?
Awwww, who’s a good puppy? You are, yes you are, squeeee!
I second the earlier suggestion of Bandit, but do it with the feminine ending, Bandita.
Soooooo cuuuute. Awww.
I’d call her Shades. She is ‘wearing’ the most elegant looking designer sunglasses. 
I was thinking that too ! She is adorable ! What about Bandit with those eyes patches ? LOL ! I just saw that someone else said Bandit too !
If I ever have a female dog, I’m going to name her Cookie, so I’ll suggest that.
So gorgeous!! Love the female pirate theme names - particularly Grace O’Malley
I have looked into the smoke and the fire demons have spoken: you will name your new puppy Rhubarb the Conqueror, and all will kneel for her.
The fire demons will also accept Lentil the Destructor.
I’d just go with Squee, myself.
Or you could call her “Ding Dong.”
Because she’s a-door-a-bell…
(groan) Ding Dong occurred to me, too, but because it is another black and white treat.
Another vote for Domino.
Pie. As in “cute as…” and because she’s piebald.
That’s one adorable dog.
I am not sure if anyone already suggested Zorro .
Panda.
That is cute .
Holstein.