Notes;
CGH 143a & 155a give the descent of DAIRE from LUGAID MAC ITHA as follows:
Daire Sirchrechtach or Doimtech, son of
Sidebolg, son of
Fer Suilne, son of
Tecmandra, son of
Lugmandra, son of
Lug, son of
Eithlenn, son of
LUGAID MAC ITHA
If this admittedly legendary (probably mythical) pedigree is to be taken at all seriously, it must be noted that from a comparison with the other pedigrees, this one should be expected to be about fifty generations.
The O'Clery Book of Genealogies (Analecta Hibernica 18), sec. 2055, gives:
Daire Sirchrechtach, son of
Fir Uillne, son of
Echbolg, son of
Daire Doimthech, son of
Sithbolc, son of
Fir Uillne, son of
Dedamra, son of
Dedad Derg, son of
Dergthene, son of
Nuadu Airgnech, son of
Lachtain, son of
Lug Feidlech, son of
Eremon, son of
Edoman, son of
Gos, son of
Sin, son of
Maithsin, son of
Lug, son of
Edaman, son of
Mal, son of
LUGAID MAC ITHA

While this is better, it is still much too short to be credible.