DSB 12(12) tells us Lluan ferch Brychan was the mother of Aeddan Fradog:
|Gen.||DSB 12(12)||PB 3i||CB 15(12)
|1||Aeddan Fradog||Aeddan Fradog||Aidan Fradog||Aeddan Fradog|
|0||Lluan||Lluan||Gafran Fradog||Lluan||Gafran Fradog||Dyfnwal|
|-1||Brychan II||Brychan II||Cynfelyn|
The PB 3i gives the same information with the added detail that Lluan’s husband was Gafran. CB 15(12) reads:
lluan mat Aidan Grutauc mat gafran vradavc
The second “mat” (mater) should probably have been “filius”. This indicates Gafran had the same epithet as his son.
Triad 29 mentions the War-Band of Gafran ab Aeddan as being one of the Three Faithful War-Bands. and BGG G11 provides his ancestry back to Macsen Wledig. Note, this Gafran is not Gafran Fradog, the husband of Lluan.
Some versions of triad 54 speak of a costly ravaging by Aeddan Fradog at the court of Rhydderch Hael of gen. 0. The reference to this incident occurring at Alcud suggests a confusion with Rhydderch Hen. The poem Peiryan Vaban (Commanding Youth) refers to antagonism between these two kings:
o gyfrang ryderch ac aedan clotleu
From the encounter of Rhydderch and renowned Aeddan
 Cy 19, 30
 Ancient Wales Studies > Lluan ferch Brychan