Caucasian Albanian

The Caucasian Albanian alphabet was an alphabet used by the Caucasian Albanians. They were one of the ancient and indigenous Northeast Caucasian peoples, whose territory comprised parts of present-day Azerbaijan and Daghestan.

A bit of linguistic insights. Caucasian Albanian was one of the two indigenous alphabets ever developed for the speakers of the indigenous Caucasian languages (i.e. Caucasian languages that are not a part of larger groups like the Turkic and Indo-European families). The other alphabet is Georgian.

The Armenian language, the third indigenous language of Caucasus with its own alphabet, is an independent branch of the Indo-European language family, so it doesn't really count.