You may be in luck!
I have a William Gunn bn 1832 also in my tree, as follows:
1. Alexander Gunn son of John Gunn and Margaret Sutherland was born 10 Dec 1797 in Halkirk Caithness, Scotland, and died Bef. Mar 1851. He married Janet Henderson 08 Dec 1820 in Thurso, Caithness, Scotland, daughter of William Henderson and Euphemia Sinclair. She was born Abt. 1800 in Lybster, Caithness, Scotland, and died 03 Mar 1868 in Inverness, Scotland.
Children of Alexander Gunn and Janet Henderson are:
i. Euphemia Gunn, born 12 Oct 1821 in Thurso, Caithness, Scotland; died 27 May 1876 in 31 Upper Kessock Street Inverness, Scotland.
ii. Margaret Gunn, born 03 Oct 1823 in Wick, Caithness, Scotland. She married Lachlan McIntosh 05 Jul 1839 in Carse, Ardersier, Inverness.
iii. Catherine Gunn, born 13 Nov 1825 in Dores Inverness, Scotland. She married Andrew Fraser 1847 in Inverness (Town), Scotland.
iv. Christy (Christina) Gunn, born 25 Mar 1827 in Dores Inverness, Scotland.
v. Janet Gunn, born 15 Mar 1829 in Reay Caithness, Scotland.
vi. Willhemina Gunn, born 21 Jan 1832 in Thurso Caithness, Scotland.
vii. William Gunn, born 21 Jan 1832 in Thurso Caithness, Scotland.
viii. David Gunn, born 20 Apr 1834 in Forse, Caithness, Scotland.
ix. Johanna Gunn, born 14 Feb 1838 in Dores Inverness, Scotland; died Bef. 1841 in Inverness.