That is a very pretty old gun.
The "choke" marking was used from 1875-1955.
The 12 over C in a diamond denotes a 12 gauge chamber, that mark was used 1887-1955.
The "crossed scepters" were used 1813-1904.
So based on those marks alone we know it was made between 1887 & 1904
I think it is a very late hammer gun, the "modern" stock dimensions, and the triple locking mechanisms suggest that to me.
I especially like the "sideclips" which extend from the edges of the receiver over the sides of the barrels, and the very pretty borderless checkering.
I suspect that the "J. HODKINSON" was stamped in a vacant banner on the rib of this unmarked import gun, and that it is in fact the name of the local retailer who distributed it.
I would describe it as a low-mid grade Birmingham gun, which was mass produced strictly for export to North America. Not particularly valuable other than the family history.
I have a few questions about it if you have the time to get back to me.
It appears to have quite long barrels. How long are they?
What mechanism holds the forend on?
What is the butt plate made of?
Are the barrels Damascus or fluid steel?
Mark