Honestly? Both Addison and Riley are boy's names. Addison literally means "son of Adam" so it makes no sense on a daughter and Riley is so masculine despite the fact that people put the name on a girl.
I really like Lucille, nickname Lucy.
What about Lucille Riley or Lucille Addison?
EDIT: If you insist of Riley, it's best to spell it correctly. All those misspellings make you and your husband look illiterate. I'm not trying to be mean, just honest. Spelling names appropriately and correctly saves your daughter from a lifetime of correcting everyone.