Ayla, which can also be written as Aylah, Aila, Ailah, pronounced (A)rdent + pra(Y) + (LU)sh, is an Arabic word that refers to a city in southern Jordan. The city was founded by the Rashid Khalifa Uthman ibn Affan, may Allah be pleased with him. It doesn't come from a Quranic root and it doesn't seem to have any meaning other than this city, since the meaning is not bad, you can use this as a name for a girl.
Ayla is also a Turkish/Farsi name that means halo around the moon, and more generally it means moonlight. This name doesn't come from Islamic sources, but since the meaning is good Muslims can use it.
A synonym for the Turkish/Farsi name Ayla is Aylin, which is also an acceptable name for girls, though it doesn't come from Islamic sources.