Hello there
@Contraptor and welcome to the site!
You may find this link to be of some use.
You will want to keep this link handy as well.
This is the URL for all things "British Tool"
You might try posting your photo images and that snip HERE - the de facto "go to" source for all things "Sheffield"
Unless I'm missing something, you have a pretty rare bird there. I would strongly urge you to do a bit of "restoration", but not at the expense of any detrimental effects to the intrinsic value of what I believe is a pretty rare piece.
There is no mention of "Eadon Jessop & Fox" per se at gracesguide.co.uk, but that doesn't necessarily mean they didn't exist, as your 1829
Gazette clipping makes very clear.
However, that may or may not have been the actual name of the business. It appears that several of those gentlemen had their fingers in many pies:
Eadon / Henry Eadon & Sons, High Bridge Forge, Owlerton (Sheffield), England / formerly Yeomans and Eadon /
https://www.gracesguide.co.uk/Henry_Eadon_and_Sons /
Eadon / Moses Eadon & Sons, Sheffield, England / est. 1823 inc. 1902 inc. 1918 into Sheffield Steel Products Ltd., Sheffield, England / edge tools /
https://www.gracesguide.co.uk/Moses_Eadon_and_Sons /
Eadon / Eadon, Jessop & Fox, Sheffield, England / edge tools ca. 1824-1829 /
Sheffield / Sheffield Steel Products Ltd., Templeborough Works, Sheffield, England / est. 1922 became Walter Lawrence Tools 1980 /
https://www.gracesguide.co.uk/Sheffield_Steel_Products /
https://www.sheffieldhistory.co.uk/forums/topic/18752-sheffield-steel-products/ /
Yeomans / Yeomans & Eadon, High Bridge Forge, Owlerton (Sheffield), England /
https://www.gracesguide.co.uk/Yeomans_and_Eadon /
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It is not a great leap to understand why men of means would want to be involved in the business of manufacturing tools and related items during
the middle of the 19th Century in Great Britain.