Ferenc was the son of Ferenc Kállay de Nagykálló and Anna Báthori Staniszlófi. The date and place of his birth have not been found.
He had two marriages/partners. His first wife was Anna Bánffy de Losoncz. They were married, but the date and place have not been found. Their two known children were György (?-?) and Borbála (?-?).
His second wife was Katalin Bornemisza-Hegedûs de Devecser et Rozvágy. They were married, but the date and place have not been found. Their three known children were Zsuzsanna (?-?), Ferenc (?-?) and Klára (?-?).
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