Cognomen Elibai (Елибай 
, Elibai 
, Елибаи 
) , globally, is a very rare family name. The cognomen Elibai is characteristic of Georgia, where it is a very rare surname, Kyrgyzstan, and Kazakhstan. Not in comparison with a country's population, this name is the most popular in Kazakhstan, Kyrgyzstan, and India. More frequently, Elibai is the forename as well as the last name.