"from Jilan"
The name Jailani is commonly a female name from the "Arabic" origin that means "from Jilan".
Jailani is an Arabic nisba, a name formed from a place: al-Jilani means "from Jilan", the Caspian region known today as Gilan in Iran. The nisba is associated with Abd al-Qadir al-Jilani, the twelfth-century scholar of Baghdad, and names carrying it are found across the Arabic, Persian and Malay-speaking world. Jailani is one transliteration of that nisba, alongside Jilani.
The pronunciation of Jailani is jay-LAH-nee.