Yes, the Morrigan is one of the most ambiguous characters in all European myth. She has very few consistencies across the Irish narrative body.
We simply don't have enough agreeing evidence to make many universal statements about her. She's one of those figures whose identity has been extremely subject to modern interpretation because of how unclear it is in the body, and people fill in the gaps. Sometimes she is a goddess, sometimes a common hero. Sometimes she is tripartite, sometimes not. It all depends on who is telling the the story, and who is encountering her in the story.
One of the few agreeable traits of the Morrigan are that she is as associated with battle. Sometimes she participates in fighting, sometimes she doesn't and alerts fighters to their doom. She also has magic powers.
A modern interpretation is to give a woman character the name Morrigan, but in myth it's always a title, the Morrigan, implying a great queen. As such more than one woman may have the title of Morrigan at once.
Regrettably we may never find much conclusive evidence of her.