Is Lyra too close to Lilly?

My cousins daughters name is Lilly. I’m having a girl and brainstorming names. I like Lyra Josephine, but is Lyra too close to Lilly? I’m not too invested in the name Lyra yet and I want to know before I add it to our list lol. My cousin never liked me and always starts trouble so if they’re too close together, I’ll just toss the name to avoid any issues. It’s not worth the trouble.