My 9 week old Female Abigail does the same thing she is relentless! Her nickname is Bear Cat or Tasmanian Devil, she is constantly biting my full grown male Artie. He jumps on our bed or the Chairs to get away from her.
With me she bites my feet and hands, some times while I'm walking!
When I say "No" she does not respond so I yell "Hey" and she stops in her tracks, and if she catches me off guard and really hurts me I say "Owe" in a loud shriek! I've only had her for 2 weeks now and the first week she was wild. But now she plays hard and then sleeps for a long time. She seems to understand that I won't tolerate her doing that to me. So she rarely does it now a days. I'm sure they just need to told/taught what kind of behaviour is accepted. You have to act like your in control in an "Alpha" kind of way?
Otherwise she or he will walk all over you. Artie is very sweet & mellow, but that Puppy stage is a challenge, he's older than her (1yr. 3 months).
So I'm sure she will grow out of it, I know they are Teething but she's not going to use my fingers as a chew toy.
I also give her something to chew on at the same time.....so she know's she can chew on things that she is allowed to chew on, just not me!
Good Luck!