I pronounce
Layla,
Laila and
Leila exactly the same: Lay-la, like the song. I see by the charts that it's popular but can't think of any that I know. As far as I know most people pronounce them the same too.
Lila I pronounce Lye-la, it would be strange to say it Lee-la.
Leela is a character on Sesame Street so I associate that spelling with the Lee-la pronunciation.