not sure of the soil type in 'your garden' - I know that both dry chalk and wet acid types are common throughout that part of surrey - the latter I'm sure would degrade buried glass quicker than chalky areas. In years gone by I've dug out some non-wine bottles from dumps in the vicinity and soil type and water table do seem to make a difference to how the glass survives.
Looking at the condition of your piece, my opinion is that it's not that modern, although mechanically made bottles with substantial kicks are still made I believe.
As you'll probably know, there is a small museum just off the western end of Dorking high street, where presumably they have some knowledge of local history and probably artefacts too - could be worth popping in for a chat and possible information on local glass works or bottling plants.
I've visited some of the C16 glass making sites mentioned in Kenyon's book - it's a very interesting volume and some of the places mentioned are not that far from you, and small pieces with beautiful iridescence can still be found on the surface.