Naomi would probably be my least favourite of your options but I do still like it. It's a beautiful name and looks so pretty written down. I just think she'd be forever correcting the spelling.
Poppy I love! Surprised at how against it some people are on here, it's a gorgeous name and works at any age. Ignore the folk who say it wouldn't work for an older lady, of course it bloody would. It's a really pretty name and classic too,
Romy is my favourite of your choices! Reminds me of Romy and Michelle which I loved so it's an easy favourite for me. Unusual without being weird and sounds lovely too!