I like the idea of giving my child a family name of some sort, or at least something that has sentimental value. My great-grandmother's name was Josephine, which I think is a lovely, timeless name. I'd be good with naming my daughter that. Plus, it's got lots of nickname possibilities, which is a nice option.
A few others I like:
I once met as woman named Marie-Eve (pronounced the French way), which I've always thought was a nice name.
Boys names are no fun, so I don't think about them very often. But someone I know just named their son Oliver... I love that name! So classy!