So
cookson and
kirkys have been climbing the wrong branch of their tree (we've all done that

) so the question now is which branch they need to look at next.
I see that Hannah Drummond, widow, 61, is a lodger in Scarborough in 1861. Is it reasonable to suppose that William Drummond, husband of Hannah Rayner, is the one who died in Hull in 1860 aged 65?
In 1841 he gave his age as 45. Ages in 1841 were supposed to be rounded down to the nearest 5 years, so he could have been any age from 45 to 49, so
if his age is accurate he was born between 8 June 1791 and 7 June 1796.
In 1851 he said he was 56, so
if his age is accurate he was born between 31 March 1794 and 30 March 1795. These dates are consistent.
In the death indexes he is said to have been 65, which,
if accurate, suggests that he was born in 1794 or 1795. Again, these dates are consistent with the census.
So you should be looking for a William Drummond born in 1794 or 1795.
There are three in the Scottish church records
- son of William Drummond and Christian Bell, baptised 16 March 1794, Whitekirk and Tyninghame
- son of John D and Elizabeth Galbreath, baptised in New Monkland on 28 September 1794
- son of William D and Margaret MacEwan, who we know from his death certificate is not the right one.
Using the census transcriptions at FindMyPast, neither of the other two can be pinned down with certainty.
Unfortunately it is always possible that your William Drummond is one of those whose baptism record (if it ever existed) has not survived.
For example in 1851 there is a 57-year-old William Drummond in Sunderland, born Scotland, but in 1871 he gives his birthplace as Scotland, Lockerby. There is no record of the baptism of a William Drummond in Dryfesdale, the parish in which Lockerbie is situated.
What were the names of the children of William Drummond and Hannah Rayner, in order of date of birth? And what were the names of Hannah's parents?