Middle name for Josephine

We’re not finding out our baby’s sex so right now Josephine is my top pick if we have a girl, but I can’t come up with a middle name.

I think I’d like either a middle name that starts with a C or E. I like Elise (my coworker is Elyse, would that be too weird to use it?) or Eileen.

Our last name is Kennedy so my husband is a fan of Irish names.

We do not like names such as Skye, Paige, Harper, Sophia, Olivia, Renee, or anything that ends in -leigh

Suggestions?