Nancy?
It did something to Tiana hearing another woman's name coming from his lips, even when he's half awake.
But the feeling wasn't that of jealousy,no..she can't be jealous that he was thinking of another woman on his sick bed.
Yet,that was something she had to look out for,if her conscience was right that this 'Nancy,' would stand out to be an opposition to what she set out to achieve with him.
That was so stupid of her to think that amidst him being a well known playerboy,and a manwhore that there wasn't any female out there that he loved.
What if he was secretly married to this Nancy?
Well,he has a kid,so that basically makes Nancy the mother of the kid?
That's how she tried fixing the puzzle about who Nancy meant to him,if she intends on having anything to do with him after he wakes up.