yes, you're correct in remembering that .............. for those interested (and have the book) it's page 182.
Possibly for reasons of aesthetics - apparently cordials were consumed by upper class women more than most other drinks, unless you count 'mother's ruin' - there were a group of rare urn or shield shaped decanters, used for cordials, and which according to the book date to c. 1770 - 1800.
However, only one of the five examples shown in the book is in the form of a true lidded jar - in the sense that we might describe lidded sweetmeats etc. - so we must assume am exceptionally rare shape for a cordial decanter and even more so since it has a lid.
The book example is described as c. 1800, so in my opinion considerably later than Scott's piece shown here - and decorated far more profusely and elegantly as you might expect for something from much later in the Georgian period ................ cut with what appears to be diagonal running relief diamonds, cut narrow vertical flutes around the rim and other assorted Regency period cutting. Can't really see the underside of the square foot, but it may be a simple wide but shallow depression created by removal of the pontil scar.
This lidded feature is curious really, and in the absence of a lip or narrow neck to assist pouring, it rather begs the question as to how the booze might have been dispensed ........... perhaps they used a toddy lifter. Anyway, if you find one of these things it's probably worth an arm and a leg.
In the picture/ownership credits, this particular piece is shown as M - which when deciphered looks to indicate that at the time of publication or thereabouts it was in the possession of the well known antiques dealer Mallett & Son Antiques, Ltd., of Bond Street, London. Why the absence of dimension is unclear - you might give them a call and ask if details are available - also you might discuss our other friendly question ................ what is their provenance/attribution for describing this lidded shape as a cordial decanter
