I had a similar issue on PS4. Same quest, different character. I first tried to give it to the wrong character, then the right one but it still said 'wrong person'. I tried to give the item to a different wrong person in town until that prompted a dialogue where they told me it reminded them of the correct character. Then, when I went back to that character, they took it. You could try that.
Edit: it just occurred to me that the character who gave the hint was related to the correct character. So that could be why they said it, or it could just be you get a hint after x number of tries. I'd try giving it to Jodi to see if it prompts the dialogue right away.