I just got done watching the old FOX Spiderman series from the 90s, and I have to say, I really enjoyed the Felicia Hardy/Black Cat character. I think it would be cool to bring her into either the Spiderman or Avengers movies; she is a super soldier, after all.
If the cartoon is your only exposure then I guess so but they played loose with that one.
She's not a super soldier.
Her origins been tinkered with a few times in the comics but her as a recipient of the serum(in any form) isn't one of them.