I really like your list. Especially Eden, Romilly and Hallie. Agree with others that you can't rely on being the only one in a school though. My nephew's name is 519th on the list for his year with only 75 babies being named his name. But there are still two of them in his room at nursery. Just one of those things.
Names that give me a similar vibe to your list and rank quite/very low on the UK statistics lists:
Aphra, Amberley, Averil, Aubrey, Asha, Arla, Bronte, Billie, Callie, Carys, Cherry, Camilla, Cassia, Cassidy, Clea, Dana, Danica, Everly, Ember, Etta, Effie, Erica, Enya, Fenella, Fabia, Giselle, Genesis, Hebe, Harmony, Inez, Iona, Juniper, Juliet, Jemima, Jessamy, Kiki, Karensa, Katinka, Keziah, Kendra, Kenzie, Kirsten, Lorelai, Livia, Liara, Lian, Mika, Mala, Miranda, Meredith, Mirren, Nyah, Nia, Neriah, Nerilly, Ondine, Ocean, Piper, Pandora, Pippi, Quinn, Remy, Rivkah, Rhiann, Rowena, Rosina, Rosita, Skye, Samaris, Saffron, Sorrel, Star, Tamara, Tegan, Taryn, Tansy, Vita, Verity, Vashti, Winter, Xanthe, Zeryn, Zia.