Responses
If you want some spoiler about the name feel free to read further
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Hugo will eventually learn her childhood name 'cause of the way Damien and her friend calls her. He'll get jealous about it and wants to wait until Lucia tells him herself. Later he'll keep calling her Vivien (if my memory of the novel serves me right) 'cause Lucia will tell him that she is his Vivien and only him calls her that at home. (≧∀≦)
Ahahaha I see. Not at all the meaning I read into it then, but that's cute too.
Isn't it interesting how she tells Damien and Kate to call her by her real name, but not her husband? It feels significant. In many different types if folklore you can gain power over someone, or reveal their true form/save them from a spell by saying their name. Here it seems to be a sign of her letting her guard down. I wonder if Hue will discover her name through Damien and understand that she's more closed up to him than others, or if she will tell him her name when she fully trusts him.