Should there be a hyphen?

SO and I are expecting our little girl in Aug. He asked if we could incorporate his deceased mother's name (Claudia) and I obliged. However, we both agree we don't like it as a first name nor a sole middle name. 
As of right now baby girl will have two middle names no hyphens but when I think about filling out hospital paperwork, I wonder should there be one. Should it be hyphenated first name, left as two middle names or hyphenated middle names?

Vote below to see results!