Interesting. Any idea what the "vernacular" name is?
I used to know - I will google it up.
The Classical world knew the inhabitants of eastern Georgia as Iberians, from the Caucasian kingdom of Iberia thus confusing the geographers of antiquity, who thought this name applied only to the inhabitants of the Iberian Peninsula (Spain and Portugal).
Gurj, the Persian designation for the Georgians, is also the source of Turkish Gürci (pronounced "Gürdji") and Russian Gruzin. The name of the country is Gurjestan in Persian, Gürcistan in Turkish, and Gruzija in Russian. The Persian name is probably related to the Armenian words for Georgian and Georgia, respectively Vir and Vrastan. (There are other instances in which a Persian word-initial gu- is derived from an earlier wi- or wa-.) Thus, both the Persian and the Armenian words appear to be related to the name Iberia, with loss of the initial i- and substitution of w or v for the b of Iberia.
There is also, in all likelihood, an etymological connection between the name Iberia and the historic province of Georgia called Imereti.
Very confusing, eh?