I don't know. There were lots of William Yarwoods as well. One lived in Hale, a farmer with a son Thomas, and another Bowden with a son Thomas.
I am wondering if the inscription in the account book is a thomas Yarwood they did work for.
William (my grt grt grandfather) was a master wheelwright and they had a Smithy with a sawpit outside. The did work for people far and wide, so if this Thomas of Ardwick was a relative they could well have done work for him. My Thomas (William's son) has written his name in pencil in the account book in 1854 so he was alive then. The book only goes up to 1854 sadly (although its a fabulous mind of information). I could buy a marriage and death cert for all the Thomas Yarwoods to check the Father, but that would cost a fortune. There's always one isn't there LOL.