You may enjoy my article https://www.theanneboleynfiles.com/6685/anne-boleyn-and-the-other-boleyn-girl/ as I cover the inaccuracies of The Other Boleyn Girl. Anyway, there is no evidence that Mary Boleyn pleaded for Anne and she certainly did not take Elizabeth. Elizabeth was safely away from court in her own household which continued to function after Anne's death. Mary had nothing to do with Elizabeth's upbringing and there is no record of her ever seeing Elizabeth again.
There is also no record of Jane stating that she knows of Anne's innocence, and, in fact, no record of Jane mentioning Anne.
Hope that helps!