Sorry Al, had FamilySearch been up, I would have seen the two entries. So it's clearly just a coincidence.
Alexander's middle name of Nicoll might have come from a more distant relative, or a friend of his parents, or the minister, or ....
The parentage of Alexander's father, John CRICHTON as given on the death cert (i.e. mother Margaret STEEL) is right as is shown by John's birthplace of Airlie (on the 1851 census information provided by Dorothy earlier in this thread); John CRICHTON b 1798 with mother Jean NICOLL, was, on the other hand, bap Dundee according to the IGI.
John CRICHTON m Margaret STEEL, 14 Apr 1782, Airlie
They had, all extracted entries, all spelled CRICHTON, and all in Airlie:
Issabel, bap 17 Mar 1783
Elisabeth, bap 5 Apr 1784
Agnes, bap 2 May 1785
Margaret, bap 28 Jan 1787
William, bap 27 Jun 1797
John, bap 29 Jun 1799
George, bap 4 Dec 1800
(Another of those families with an unexplained gap - this time from 1787 to 1799).
JAP