Names that give a nod to 'Bernice'

We're about to have baby girl #2 and are still working on names. Our first daughter's middle name is a nod to my grandmother - think "Eliza" for "Elizabeth" or "Sophia" for "Sophie". I'd like to do the same for baby girl #2 for her great grandmother Bernice but I'm not a huge fan of Bernice as a name in general. Any ideas for names that give a nod to Bernice but aren't actually Bernice?

We don't have a first name picked out yet so it doesn't really have to go with anything particular.