Will have a look at that. It is 1830s, the pinning to the board requires a wooden dial movement and they were still available then though only just I would have thought. If it is earlier than that it was perhaps part of the stock bought by Muston when he took on the business.Wow, I hadn't seen a dial surround like that before. Your clock is earlier than I thought.
Also the movement is a very nice and robust "A" frame. For years I wanted a clock with an "A" frame. It took years but now I have a few.
My Robert Wood dial had actually sagged from years of gravity pulling down on the screwed dial feet. The dial had to be straightened.
Check the feet on the false plate to assure they are not loose or bent, that may be the answer to your off center winding arbor.
A case builder tells me movements for wooden dials are really difficult to get hold of now so there can't have been huge numbers, you can easily pick up a standard fusee movement on ebay.