I have searched www.thepeerage.com for any proof of William being an Earl and cannot find any proof under any variation of the spelling. Would person who included his title please add a note giving his/her sources.
I am having difficulty finding proof that William was the son of John Coles. If he were an Earl of England, he would be in the peerage lists, and often the parentage is traced back many generations.
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I saw Sir William on the peerage website but not the right person -- Sir William was born in Ireland, not England, and the dates don't work. I think this William is a bad merge and not the son of my John Coles at all.
I will wait another few days to see what further conversation develops but I am inclined to disconnect him from John Coles.