The name Aila is a girl's name meaning "from the strong place". Aila and is often added to lists like Names That Mean Strong, Brave or Powerful 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.)