Teimuraz I of Kakheti
Prince Ioann of Georgia (1768–1830) reports that the Babadishvili descend from the Kakhetian ruler Imām Qulī Khān (1678–1722), “corrected” by some modern genealogists to Joseph, a supposed grandson of Teimuraz I of Kakheti (1589–1663). Professor Cyril Toumanoff considers the family to be related to the Beburishvili (ბებურიშვილი), possible descendants of the medieval house of Donauri.