I've had a think about this myself, because I'd love to name a baby after my Nana, but I know she hated her name - a lot of people actually didn't know what her real name was! But she loved Berenice, which was close to her name (Bernice) but far enough away that it wasn't the same thing y'know? So I'd go with Berenice.

Maybe your Nan was happy at the motive behind it, rather than the actual name?