it's an alternative spelling of Aeden or Aidan for a girl. "Aidenn" is also an Arabic word meaning "paradise".

Aidenn is generally an alternate spelling of the name Aidan. However, it seems 19th century poet Edgar Allan Poe used this spelling as an anglicization of the Arabic word adn meaning "Eden" or "paradise."
See Also: Aidan (girl), Aidan (boy), Ayden, Aden, Aedan

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