What if her adopted dad is:
Blackbeard… who we know is an upcomming episode, and supposedly doesn’t bathe much. A shaky drunk guy being a pirate who drinks isn’t a stretch. I definitely wouldn’t think it is Hook though as her father, as Hook would be too retconny with a young Cora, plus he’s not that kind of drinker.
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“If I had a world of my own, everything would be nonsense. Nothing would be what it is, because everything would be what it isn't. And contrary wise, what is, it wouldn't be. And what it wouldn't be, it would. You see?” -- Lewis Carroll, Alice's Adventures in Wonderland & Through the Looking-Glass