The name Aila is a girl's name meaning "from the strong place". Aila and is often added to user-created lists like Power Names/Fantasy and discussed in our forums with posts like "Which would you choose?".
From the experts:
Now that Isla Fisher has pushed her once-obscure name into the Top 150, some parents are looking for similar-sounding names that are further off the beaten path. This one is especially promising, with its cross-cultural appeal. Ayla, a common name in Turkey, is also worth considering. (As long as you don't fool yourself into thinking either are all that different from Isla.)