Having worked with children for 10+ years, I know lots of little Lucy and Lola under age 6.
Only 2 Lucia, 1 pronounced Loo-chee-a aged 9 (Italian family) and one pronounced Loo-see-a aged 6 (Eastern European family). I prefer the Loo-see-a pronunciation but found most people tend to assume the Loo-chee-a.
A few Lucy and Lara my age - 30+ but not met a young Lara. (Few Clara/Zara/Cara!)