Hello,
I'm sorry this won't help much but just going with the marriage that I posted a while ago, I noticed these and wonder if you have them. Of course the problem is linking your Thomas to that marriage initially

1841 HO107; Piece 188; Book: 9; Folio: 27; Page: 5
Barrow upon Trent Derbyshire
Francis Amat 25 yrs Grit stone cutter born in county
1851 Class: HO107; Piece: 2239; Folio: 232; Page: 36
Tintwistle Cheshire
Francis Amet married lodger 34 yrs Stone scapler b Derbys Holloway
I can't find him in 1861 but there is a death in 1867 Chapel en le Frith which fits.
I wonder if this chap may be the Henry Francis Amott baptised 1813 Crich -parents Thomas and Dorothy. (I found the family through a man called German Amott as name varies quite a bit.)
As I said, sorry it doesn't provide any answers re Thomas. The occupations don't quite fit and nothing to really link the places

However, Francis has a father, Thomas
best wishes
heywood