Thanks for posting the additional images, a fine & interesting piece of ordnance.
Its Weight.
15,737 lbs equates to 7.02 tons, the British used 7 ton guns in 7 inch calibre so I'm assuming that this is most likely of that calibre. Its external profile does not conform to their Mk I, Mk II or Mk III patterns, although it is most similar in construction method to the Mk I, predating the Fraser system of using fewer & larger pieces to build up the gun.
In fact dated 1864 it is quite an early example, the British introduced the 7 inch 7 tons gun (Mk I) in 1865.
Its Preponderance.
The British military were unsettled on the question of preponderance for some time. For example in 1865 it was decided that 8 & 9 inch guns should be completed with no preponderance. Then in 1867 it was objected that the muzzles drooped when loading, under the weight of the projectile, & didn't follow down for elevation. It was therefore approved that the preponderance of 7 inch guns (of both 6 1/2 & 7 tons) would be 3 cwt (336 lbs), 8 inch 4 cwt, 9 inch 5 cwt & for guns above 12 tons no more than 6 cwt & no less than 5 cwt preponderance.
Later, in 1869, the Admiralty requested that guns of 18 tons & more should have no preponderance, but as this was virtually impossible anything under 3 cwt was considered as nil.
So at 809 lbs the preponderance on your gun is quite heavy & it was such early guns, with heavy preponderance difficult to elevate with handspikes, that raised the whole issue of preponderance soon after.
The Mysterious Grooves.
These were definitely for use with handspikes, they are perfectly placed both on the breech of the piece & in relation to the carriage for this.
Also official contemporary writings, quoted as requested:
Some quotes from "Note book of Construction & Manufacture of the Rifled Ordnance in the British Service" 1872.
regarding preponderance:
pp. 114
"but it was also stated 'that the preponderance of 7-inch guns renders depression with handspikes difficult'.
pp. 125
"To prevent the handspikes slipping when working the gun, the breech is scoured underneath at each side and at the end"
From "Treatise on the Construction & Manufacture of Ordnance in the British Service" 1877.
pp. 189
"To prevent the handspikes slipping when working the gun, the breech was formerly scored underneath at each side. This is no longer required, as heavy guns are now elevated by means of elevating racks."
This is the first time I have seen examples of such marks. Adrian.