Hi Lewis
Many thanks for your prompt reply.
Presbyterian I think,as Williams grandchildren were married in Ist Pres ,Cookstown. I think the Elizabeth who recorded his death is hie wife,as Eli zabeth his daughter married Samuel Warnock on 7 July 1863.
At least we might have a Christian name now thanks to your good deduction.
Austin
Interesting! As it happens I was at PRONI in Belfast late last year and I was doing some digging in the presbyterian church records for this area, as many of them appear to be in fiche form only - although Roots Ireland does have some transcriptions.
In any case, the presbyterian records for Cookstown start in the 1820s/30s so there's every chance you'd find baptisms for some of William Sr's children if they were born in the area. The marriage records start later but he may also have married in a CoI church for which the availability is often better, so you might find the record in a neighbouring CoI parish. If you haven't already, John Grenham's website is great for seeing what is available and where.
Just to give you a flavour of what to expect these are a couple of the transcripts I made from the registers of the 2nd and 3rd Cookstown presbyterian congregations, in my ultimately unsuccessful attempts to locate some of my Elliott/Davison family in the Cookstown/Lissan area. Pity I was not looking out for Rankins!
Cookstown 3rd Presbyterian
James Davidson, born 9 Jun 1836, baptised 5 Feb 1837, to William and Betty of Cranfield
Cookstown 2nd Presbyterian
William Davidson (unclear if date is birth or baptism) 14 Feb 1822 to John Davidson and Jane Franklin
Frustratingly some presbyterian congregations didn't start naming the mothers until well into the 1830s, I found this to be the case in Moneymore 1st and Magherafelt, across the boundary into County Londonderry.
Lewis