Layla comes from the Arabic laylah (ليلى), meaning "night." In classical Arabic poetry the night carries a particular weight — it is the time of intimacy, of contemplation, of the beloved. The name is forever linked to the seventh-century tragic love story of Layla and Majnun, in which a poet named Qays falls so deeply in love with a woman named Layla that he is driven mad, and the night and her name become indistinguishable to him.
The song made the name famous in the West; the meaning has kept it loved.
Layla does not currently appear in the US Social Security Administration's top 1,000 girls' names, so we don't publish a US rank or birth count for it. That says nothing about the name's standing elsewhere in the world — only that it sits outside the ranked US data we rely on.
In Pythagorean numerology the letters of Layla reduce to 6, The Nurturer. This is a traditional interpretive system, not a factual claim about the name.