Hlibko is a diminutive and affectionate form of the full name Hlib. Its origins can be traced back to 1366, when a document mentions "the Kriloshanin from Peremyshl, Hlibko, and his brother Kostko Bezn..." in the city of Peremyshl. This name can also be found in the surname of a Cossack from the Korsun regiment in 1649 - Yatsko Hlibko, as well as in the patronymic surname of a Cossack from the Bratslav regiment, Matviy Hlibchenko.