Wondered originally if this might have been an attempt at Ceirchioglys. There's a place name Ceirchiog very close to Llechylched. 'Lys' (Llys - court, manor house - various meanings) appears after some Welsh names.
Chasing "Ceirchiog + Lys" led somehow to "Bodafon Lys" which led somehow to!!
ANGLESEY ANTIQUARIAN SOCIETY
Bledrws ap Hwfa (Gwely), Conysiog - 1923, p.42 - item ref = 1923-c ID=695
Bledrws ap Hwfa (Gwely), Conysiog - 1969-70, p.44 - item ref= 1969-b - ID=7248
Bledrws ap Hwfa (Gwely), Conysiog - 1971-2, p.179,181 - item ref= 1971-j - ID=7562
Bleiddig ap Tegwared, Conysiog - 1971-72, p.180 - item ref = 1971-j - ID=7681
Bleiddig/Bledrws ancient Welsh names but no idea of the significance of the "Conysiog" against their names - Anglesey Antiquarian Society should be able to help with the above references.
Conysiog + lys a possibility.
regards