First of all, the original census
never gives a year of birth. It tells you what age the person claimed to be on the day of the census, except in 1841 when it was supposed to be rounded down to the nearest 5 years. And because the census was normally taken about a quarter of the way through the year, 'calculating' a year of birth by subtracting the age from the census years gives a wrong answer three-quarters of the time.
In 1841 the census was taken on 7 June. So if that 1841 census is accurate, Patrick Dawson was born between 8 June 1821 and 7 June 1826. There is quite a gap between 10 or 11 and 15 years.
Second, if you look at the rest of the household, there are three children born in Lanarkshire, one of whom was the same age as Patrick. So it looks as if this family might already have been in Scotland before your Patrick was born.
Is your Patrick the shoemaker who was married to Ann? (Note that the one in 1841 was a labourer.)
In 1851 he gave his age as 28
In 1861 he gave his age as 31
In 1871 he gave his age as 42
In 1881 he gave his age as 50
So he was pretty inconsistent, and he could have been born any time between 1822 and 1831. Even if you could get a list of all Patrick Dawsons born in Ireland in a ten-year period, there is no way of knowing which one yours might be.
It looks as if he died in Glasgow Plantation in 1886, aged 54. Go to
www.scotlandspeople.gov.uk, invest in a few credits and use some of them to download the death certificate. It should tell you his wife's maiden surname, and the full names of both his parents including his mother's maiden surname. You can then use that information to find Ann's death certificate and the names of her parents.
