Randver married Aud "Diuphraudza" (The Deep-Minded) IVARSDÓTTIR, daughter of Ivar "Vidfame" HALFDANSSON King in Sweden and Gauthild (Gyrithe) ALFSDÓTTIR, about 669 in Denmark. (Aud "Diuphraudza" (The Deep-Minded) IVARSDÓTTIR was born in 633 in Am, , Denmark.)