I presume you've looked through the Wills? Potentially a lot of info in there.
Findmypast has been saying 'soon' for Cheshire land tax records for while, hopefully they will have them soon!
The tithemap site is another useful thing, but I think you have the family at that point, although it does tell you what land they had.
If you can find the landlords name on either the land tax or tithe, then you can look to see if their records survive.
I just had a look at the Land Tax Redemption for 1798, and there is a Matthew Shaw in Bosely, with the land owned by the The Earl of Harrington. Not sure what records survive, but it's a suggestion.
Hope some, or any, of that helps,