It's my name in RL, spelled slightly differently.
Please, I would sincerely recommend you don't call your daughter Anoushka.
Going through life with such an unusual name, especially in an English-speaking country, is really difficult.
You can't imagine how annoying it is to introduce yourself, and have people draw back and say, variously:
"What?"
"Say that again?"
"Where's that from?"
"Oh... were you not born here?"
"How do you spell that?"
"Do you have a nickname?"
"Yeah... I won't remember that."
"An... Ana... Anoooo... what?"
Occasionally people are lovely. "Oh, what a beautiful name!" Which is nice. But it's usually followed by questions about where I'm from or where my parents are from and why did they call me that, and it just gets exhausting.
I hate introducing myself. Or spelling my name. Or having people look at my name and say "I have no idea how to pronounce that."
As I said above, my name is spelled slightly differently. A real highlight was when a classmate in school shouted at me that the first four letters of my name spell ANUS. I can still remember the entire class rocking with laughter. Even the teacher. He tried not to, but he had to hide a grin. Nice.
Please, just don't. Please pick something else. Leah is beautiful. If I could pick any name for myself now, as an adult, I'd choose Claire. About as different from Anoushka as you can get :)