Similar to Lilo (I have never heard this as a name?):
Lila, Lilia, Lily, Lola, Lena, Lana, Lina, Luna, Lyla, Lyra, Layla, Leila, Laiba, Laura, Leah, Lois, Lacey, Lexie, Libby, Lottie, Lisa, Leanne, Leilani, Leya.
Similar to Eden (I love this) and Ellen:
Enya, Etta, Erin, Emerson, Emery, Ebony, Emma, Elin, Elle, Ella, Ellie, Elianne, Eliana, Eleanor, Elena, Elaine, Eve, Eva, Evie, Evelyn, Esther, Effie
Similar to Tilly:
Tia, Thea, Tiana,Thalia, Talia, Tiggy, Tansy, Tegan, Tammy, Tara, Tamsin, Tessa, Taylor, Tori, Toni, Tracey.
Similar to Ivy:
Isla, Iris, Izzy, Issa, India, Ilsa, Ingrid, Innes
Along the same lines as most of them:
Amy, Annie, Abbie, Anna, Alexa, Allie, April, Angel, Ava, Ayla, Aria, Anya, Asha, Bonnie, Besty, Bella, Briley, Chloe, Cara, Clara, Ciara, Casey, Daisy, Darcey, Demi, Dana, Emily, Frankie, Flora, Freya, Gracie, Georgie, Halle, Hayley, Heidi, Jayla, Josie, Jodie, Jenna, Kayla, Kyla, Kaylie, Kelsey, Megan, Macie, Niamh, Nancy, Nina, Orla, Poppy, Polly, Phoebe, Ruby, Rosie, Rosa, Robyn, Riley, Sadie, Sophie, Sydney, Sylvie, Verity, Wendy, Zoe, Zia, Zara