Thanks, Sean! Those definitely sound like the right person!
This is what I have so far in my Thompson investigation:
William Thompson (1774-1855) m. Mary Skinner (abt. 1771-1816) on 12 March 1795
i. William Skinner, born abt. 3 Feb. 1795 (before their marriage), died 14 April 1870 aged 85 (my direct ancestor)
ii. Mary Thompson, born abt. 3 Feb 1796
iii. Zachary Thompson, born abt. 25 Sept. 1798
iv. Joseph Thompson, born abt. Nov 1800
v. Priscilla Thompson, born abt. 12 Sept. 1807, died 21 March 1841 aged 33
William Thompson m. Harriet Moon (abt. 1798-1821) on 10 Aug 1817
vi. Frances Thompson, born abt 1817 (before their marriage), died 15 June 1876 aged 59 (never married, had illegitimate twins in 1842 with George Noakes)
vii. Matilda Thompson, born abt. 16 July 1818 (married Cox)
William Thompson m. Elizabeth Wood (abt. 1792-1864) between 1821 and 1825
viii. Elizabeth Thompson, born abt. Aug 1825
ix. James Wood Thompson, born abt. 1827, died abt. Nov 1899 in Camberwell, London
x. Eliza Lucy Thompson, born abt. 1830, died abt. Mar 1917 in Hastings (spinster)
xi. Hel(l)en Charlotte Thompson, born abt. 1832, died abt. Feb 1902 (married Coppard)
Please let me know if there's anything I've missed in my notes. I recently got a subscription to Find My Past and built a rather extensive family tree which includes the Thompsons, and I'd like to make sure it's all up to scratch!