I found Thomas's bankruptcy in a list in "London Magazine: Or, Gentleman's Monthly Intelligencer Vol 3" for 3 Apr 1784. I hadn't heard he was in Macclesfield but that is probably him. Maddy, do you have any more about that certificate of conformity?
There are a few mentions in the newspapers eg:
"BANKRUPTS ... Thomas Rushton of Macclesfield, Cheshire, brewer, to surrender Jan 15,16 and Feb 11, at ten, at the Old Angel Inn, in Macclesfield. Attorneys, Mr Clulow, in Macclesfield, Mr John Thompson, Furnival's-inn, London."
Sun, Wednesday, January 1, 1794
"CERTIFICATES ... Oct 7, Thomas Rushton, of Macclesfield, Chester, brewer."
Morning Post, Wednesday, September 17, 1794
You say you've seen the likely baptism at Liverpool - 31 March 1745, Thomas son of Robert RUSHTON (labourer), born 8 March, Atherton St. Although nothing to prove this is your man.