Hello Roy
I would guess that your screenshot is from the excellent little book 'Military Button Manufacturers from the London Directories 1800-1899' by Peter Nayler.
Packed full of very useful information but bear in mind that the entries are from the London Directories of the time and list business names and addresses and this is not necessarily going to be the same information that appears on button backmarks.
Joseph Nutting is indeed the maker of your button but, as I mentioned earlier, I have never seen a 'J Nutting' backmark, he always seems to have used the 'I' spelling of his Christian name on backmarks.
Roger
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