Hi from across the pond.
From the WR book in pursuit of the best gun, s/n 2060-3913 were produced between 1830-38.
From Nigel brown's book British Gunmakers vol 2, the s/n would suggest 1833/4.
So some correlation on dates, certainly an early gun and the slab sided hammers would be from that era. Not sure where the fences have gone? sure they would have been there as made.
The makers script on the locks look very similar to another old WR i was offered recently, but this had Belgian proof marks, so i was wary and did not purchase. Would be interested to see a photo of your proofs under the barrels.
Incidentaly, WR provide a dating and certification service, details on their website, and includes a copy of the original build ledger too. Very pleased with their service which dated my gun to 1841.
Cheers