Obverse Design Legend curving along the top says "THE . BRITISH . GLORY . RHVIV.D : BY . ADM.L : VERNON : COMR . BROWN" (the word "REVIV'D" appears to be mis-spelled with an "H" in place of the first letter "E"). There is inside line enclosing the legend. Full length figures of Admiral Vernon and Commodore Brown are shaking hands. Both are facing 3/4 towards us and standing on a plain platform. In the middle between their two heads is a crown. At their feet, above the platform, is a small depiction of a ship sailing right.
Reverse Design A full length satyr with a pitchfork is pulling Sir Robert Walpole (full length figure on the right) by a halter around his neck into the mouth of a dragon (only the dragon head is depicted, and is on the left of the medal). The halter passes over the satyr's right arm. Walpole and the satyr are standing on a plain platform. A speaking bubble coming out of the satyr's mouth and goes along the upper right of the medal. The satyr is saying "MAKE ROOM FOR SIR ROBERT". There is an ornament of a bullet, a four part diamond and another bullet along the edge after "ROBERT". In exergue under the platform it says "NO:EXCISE".
Distinctions There are about six similar varieties with full length figures of Brown and Vernon. Of those, five show Vernon and Brown shaking hands with a crown above and a ship below. Of those five, three have a Porto Bello reverse, one has Argyle on the reverse, and this variety is the only one with the satyr and Walpole on the reverse. Another variety has a very similar reverse (but with the halter passing under the satyr's right arm) but only features Vernon on the obverse (no Brown).
Detail On Obverse of VN-2.260 Detail On Reverse of VN-2.260
Detail of VN-2.260
Note the spelling of "REVIV'D" with an "H" in place of the "E".
Detail of VN-2.260
Note halter going over the satyr's arm.
Metal Copper and brass. Weight Unknown. Size and Shape Round, 37 mm in diameter.
Rarity Common. Designer or Issuer Possibly I. Giles, who put his name on the obverse of one of the Brown and Vernon shaking hands varieties. Other Catalog Numbers Betts #246, McCormick-Goodhart #18.
Notes

Sir Robert Walpole was Prime Minister of England from 1721 to 1742, serving during the reigns of King George I and King George II. Walpole is generally considered the first Prime Minister of England (as this office developed over time into what it is today), and he also was the first to occupy the official residence at 10 Downing Street. Walpole's plan to replace the tariffs on wine and tobacco with an excise tax was defeated in 1733, largely because of widespread popular prejudice against excise taxes. An excise tax is an event related tax, such as sales tax (the event is the sale) or income tax (the event is earning income). An example of a non-excise tax is property tax; it is collected every year whether or not the property has changed hands. The opposition to this tax reform was such that seven years after the tax was defeated, the "NO EXCISE" theme was still featured on this variety of medal.