If someone wanted better dimensions on the model 1807, they might get them quicker by finding a surviving example.
Lemme do better than that. There's a thick Congressional document dated 1835 which is a super-detailed survey of thousands of individual cannons in the princpal U.S. Navy yards of that time. All gun, carronades, gunades, etc. have their somewhat-detailed measurements (up to 5 or 6 important dimensions) listed for each individual weapon, not just the type. Markings, such as they were on those early weapons, are also given, along with some general comments on the group of like weapons at that yard. When known, the ship they were "landed" from is also given.
Anyone doing a serious study of early US Navy cannon must use this document, or wind up with huge voids in is work, since nothing else since published has the range nor depth of information.
The cover reads: "[Rep. No. 141] National Foundry. March 3, 1835. Read, and resolution concurred in. Congress of the United States."
Someone asked about CONSTITUTION's armament, and 30 of her long 24's are listed and described in detail on pp. 54-55 of this report, detailing all the guns in the Charlestown, MA yard. The guns have obvously been landed from the ship for ship repairs or whatever at the time of the survey, and on pp. 55 is stated:
"From 56 to 85 inclusive (gun numbers) long 24 pounders, all have raised vent fields, bored for locks, breech rings, with trunnions in the centre, except Nos. 77 and 71, which have trunnions below centre. They are English Crown guns. The rest are American maufacture. From 56 to 85 incusive, are part of the Constitution's armament."
To the left of this paragraph is a table of data with measurements,weight, marks of each gun, in columns spanning two pages.