The pagan Niall of the Nine Hostages, High King of Ireland and Tara, died maybe around 450 AD, is generally considered the historical start of the Irish Royal line.
Niall of the Nine Hostages is ancestor in male line of:
Brian O'Neill, the last High King of Ireland. 
  King of Ulster.
Killed in battle in  1260.
Brian O'Neill, High King of Ireland, and King of Ulster, is ancestor in male line of:
Con Mor O'Neill, King of Ulster, 
mar Eleanor Fitzgerald
[descendant of  Edward I
and of Aoife Mac Murrough],
died 1493, 
 had issue:
Conn   O'Neill, 1st Earl of Tyrone,
 King of Ulster,
 died 1559, 
had illegitimate issue:
Niall of the Nine Hostages is ancestor through female line of:
 Arthur O'Neill.
He mar Annabel Crewe-Milnes
[dau of 
  Robert Crewe-Milnes, 1st Marquess of Crewe].
She is  descendant 
of
Lady Catherine Cochrane,
who 
 
descends
from
   Henry VII.
  
They  had issue:
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