What are some good middle names to go with these....?

We just found out we are having a little girl, and The First names we had picked out Are Madison and Claire(just in case one doesn't seem right for out little one) But we are having a hard time coming up with middle names, i thought of working in the name June for my grandmother and i also like Leah(pronounced LEE-AH) but not 100% sure any ideas are apprciated. Thanks for the help:)