I love it!
Rosemary was my grandmother's name, so I have a soft spot for it, and I just think it's really pretty. I, too, love the NN
Romy, but I'm also pleased with
Rosie or
Mary.
I'm not a huge fan of the name
Eve, but it's a nice enough combo. I love
Sid's daughter's name,
Rosemary Pearl, but I don't advocate stealing combos on here after the child is born (although, until then, I say it's up for grabs, but that's just me heh).
Anyway, other possibilities (they're mostly old-fashioned because I love that with
Rosemary)
Rosemary EdithRosemary AgathaRosemary AgnesRosemary JeanneRosemary CarolRosemary LucilleRosemary EstelleRosemary HeleneRosemary VirginiaRosemary CeceliaRosemary Margaret
Any you like?