I was told it meant "God's Miracle" when I was giving birth to my daughter in 2007. Since I was an addict, she was a miracle. She was premature but perfect. I changed the spelling to "Alahznee" pronounced Alah- znee.
A gorgeous name with a gorgeous meaning; it makes me think of a girl who has had numerous hardships in her life, but is strong enough to make it through.
https://www.euskaltzaindia.eus/index.php?option=com_ecoeoda&task=izenaIkusi&Itemid=792&lang=es&kodea=119&mota=izenak [noted -ed]
The conventional Basque words for miracle are #mirari#, #mirakulu#, and #mirakuru#. By comparison, #alatz# is a rare word.
https://hiztegiak.elhuyar.eus/en/miracle
https://hiztegia.labayru.eus/bilatu/LH/all/alatz?locale=es