A lovely musical name (remember the old Eric Clapton-Derek & the Dominos song?), Layla's seen a significant surge in popularity, partly through its kinship with hugely successful Kayla and partly because of the stylishness of virtually every name for girls that has a double l: Lila, Leila, Lily, Lillian, and so on.
Layla has rocketed precipitously up the charts to the Top 40 today--it's also in the Top 30 in the UK, Australia and Scotland. So while the name is beautiful, she'll have plenty of company from other girls with similar names.
The spelling Laila is represented by boxer Laila Ali.