This coin is listed in the <a href="https://en.wikipedia.org/wiki/Standard_Catalogue_of_British_Coins" class="extiw" title="en:Standard Catalogue of British Coins">Standard Catalogue of British Coins</a> under the ID 3951.
<bdi><a href="//commons.wikimedia.org/wiki/Category:19th-century_unidentified_medallists" title="Category:19th-century unidentified medallists">Unidentified medallist</a>
</bdi>
May 2013 for the photograph; 1843 for the coin.
Actual coin