Both my repros have the full kit and after reading all the above details I must check both and see how different or similar they are.
Back with update:
The 20 gauge oil bottle(Parker Reproduction with knurled lid) and snap caps(Parker Reproduction 20 GA).
The 12 gauge oil bottle (Parker Reproduction with knurled lid) and snap caps (Parker Reproduction 12 GA).
The Cherry Wood cleaning rods have no markings on them.
The inside case labels are identical (Parker Reproduction with Winchester at the bottom).
PS - I bought a NIB 20 gauge with single trigger for my wife and she loved it but the stock was too long and she would not let me have it modified, so I eventually sold it. It also had full kit.