I think Annie Bryson was the third child of Robert Bryson (c. 1799-6 Jun 1859) and Mary _ (c. 1799-22 Aug 1869), his second wife.
Robert was the eldest child of James Bryson (c. 1770-20 Nov 1822) and Sarah Allen (c. 1781-12 Apr 1864), the other children being Margaret Bryson (c. 1805-18 Apr 1873) whose husband was Thomas Stratford Stephens (c. 1799-24 Jan 1848); and William Bryson (-1871) whose wife was Mary - (c. 1815-3 Oct 1903).
...my name is Catherine Wilson the John Wilson you are talking about is my late grandfather I have researched my family history and Annie and John would be my x2 great grandparents.