安德洛尼卡一世
Professor Cyril Toumanoff of Georgetown University advanced a hypothesis not accepted by the mainstream Georgian scholarship, identifying the dynasty of Alastani (c. 1230–1348) with the Georgian noble family Andronikashvili, who claimed descent from Alexios Komnenos (c. 1170–1199), the illegitimate son of the Byzantine Emperor Andronikos I Komnenos (ruled 1183-1185) by his mistress and relative Theodora Komnene, Queen Dowager of Jerusalem. Toumanoff attempted to reconstruct the early pedigree of these Alastaneli-Andronikashvili: