I'm a descendant of a John Dixon and Isobel Whyte who married in Glenbervie 28 April 1832. Their surname can be Dickson or Dixon, though at the time the minister got it wrong and gave the surname as Diggans. i suspect he could be the son of John Dickson and his wife Margaret Young.
Isabella Dickson or Whyte died in Brechin in 1891, aged 80.
1871 Census is St Cyrus: John Dixon, 61, born Fetteresso; wife Isabella, 61, born St Cyrus; son Daid, 16, born Arbroath; granddaughter Helen, 9, born Brechin.
In 1861 they were also in St Cyrus: John, 50; Isabella, 52, son John, 24, David, 16 and granddaughter Helen, under 1 year.
By 1881 John had died and Isabella is described as a pauper.
This means (a) that there should be a death certificate for John which should tell you the names of his parents including his mother's maiden surname and (b) there may be some information in the parochial board (Poor Law) records of St Cyrus if they have survived.
Have a look at the original census and at Isabella's death certificate at
www.scotlandspeople.gov.uk, and check Aberdeen Archives to see if the St Cyrus parochial board records have survived.
It's not immediately obvious which of the 5 deaths of John Dicksons born 1810 plus or minus two years is your one, but Tannadice is the closest geographically. On the other hand it's inland, and he was a fisherman. In which case the one in Dunbar might be him, that being the only seaside place in the list.