Reference of Full Quart, Applegate.1730 (Chris Jinks).
A Full Quart is listed in the Recognizance orders for 1726.
A Quart was the measurement on which the exchequer based their tax, possibly stems from James 1st 1603-25 when it was decreed that ‘any alekeeper shall sell less than a full quart of ale for a penny he shall forfeit every such offence the sum of twenty shillings’.
So the name full quart was advertising the fact you would receive what you paid for. A quart was the usual measure drawn by the host from the cellar.